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What is the Least Common Multiple of 56949 and 56964?

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 56964 is 1081347612.

LCM(56949,56964) = 1081347612

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Least Common Multiple of 56949 and 56964 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 56964, than apply into the LCM equation.

GCF(56949,56964) = 3
LCM(56949,56964) = ( 56949 × 56964) / 3
LCM(56949,56964) = 3244042836 / 3
LCM(56949,56964) = 1081347612

Least Common Multiple (LCM) of 56949 and 56964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56949 and 56964. First we will calculate the prime factors of 56949 and 56964.

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 56964

Prime factors of 56964 are 2, 3, 47, 101. Prime factorization of 56964 in exponential form is:

56964 = 22 × 31 × 471 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 56949 and 56964.

LCM(56949,56964) = 31 × 411 × 4631 × 22 × 471 × 1011
LCM(56949,56964) = 1081347612