Rome claims infallibility for its magisterium. In the RCC catechism, it stated this in point 2035
"The supreme degree of participation in the authority of Christ is ensured by the charism of infallibility. This infallibility extends as far as does the deposit of divine Revelation; it also extends to all those elements of doctrine, including morals, without which the saving truths of the faith cannot be preserved, explained, or observed."What about point 2051
"The infallibility of the Magisterium of the Pastors extends to all the elements of doctrine, including moral doctrine, without which the saving truths of the faith cannot be preserved, expounded, or observed".
The LDS also claims infallibility. Look at this statement...
by Charles W. Penrose
"Our organization is a very glorious one. It is a perfect organization -- perfect -- because it is divine. It was not made by man. It was not originated by Joseph Smith, or by any of his associates. It came down from above, direct from eternal worlds. It was not taken out of the Bible. It was not taken out of the Book of Mormon, or any other book" Journal of Discourses, vol. 24, p. 304 (1883)
by Brigham Young -
"The Lord Almighty leads this Church, and he will never suffer you to be led astray if you are found doing your duty. You may go home and sleep as sweetly as a babe in its mother's arms, as to any danger of your leaders leading you astray, for if they should try to do so the Lord would quickly sweep them from the earth." Journal of Discourses, vol. 9, p. 289 (1862)
If you are not bothered with it I am, for I have dear friends in the RCC who will fight tooth and nail to show that the RCC is the real Church.