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What is the Least Common Multiple of 56949 and 56961?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 56949 and 56961 is 1081290663.

LCM(56949,56961) = 1081290663

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Least Common Multiple of 56949 and 56961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56949 and 56961, than apply into the LCM equation.

GCF(56949,56961) = 3
LCM(56949,56961) = ( 56949 × 56961) / 3
LCM(56949,56961) = 3243871989 / 3
LCM(56949,56961) = 1081290663

Least Common Multiple (LCM) of 56949 and 56961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56949 and 56961. First we will calculate the prime factors of 56949 and 56961.

Prime Factorization of 56949

Prime factors of 56949 are 3, 41, 463. Prime factorization of 56949 in exponential form is:

56949 = 31 × 411 × 4631

Prime Factorization of 56961

Prime factors of 56961 are 3, 6329. Prime factorization of 56961 in exponential form is:

56961 = 32 × 63291

Now multiplying the highest exponent prime factors to calculate the LCM of 56949 and 56961.

LCM(56949,56961) = 32 × 411 × 4631 × 63291
LCM(56949,56961) = 1081290663