LCM for 49 and 121

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What's the Least Common Multiple (LCM) of 49 and 121?

Answer

LCM of 49 and 121 is
5,929

First common multiples: 5,929; 11,858; 17,787; …

5,929 is divisible by both: 5,929 ÷ 49 = 121; 5,929 ÷ 121 = 49 — and 121 and 49 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/49 by 121 and of y/121 by 49.

49 and 121 are coprime (GCF = 1), so their LCM is simply the product: 49 × 121 = 5,929.

49 = 72

121 = 112

Prime49121Highest power
772—72
11—112112

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 72 × 112 = 5,929

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
491065,194
491075,243
491085,292
491095,341
491105,390
491115,439
49112784
491135,537
491145,586
491155,635
491165,684
491175,733
491185,782
49119833
491205,880
491215,929
491225,978
491236,027
491246,076
491256,125
49126882
491276,223
491286,272
491296,321
491306,370
491316,419
491326,468
49133931
491346,566
491356,615

FAQ

What's the Least Common Multiple (LCM) of 49 and 121?

LCM of 49 and 121 is 5,929

How to find the LCM of 49 and 121 using prime factorization?

To find the LCM of 49 and 121, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 5,929.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 49 and 121: LCM = 5,929, GCF = 1.

See Also