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What is the Least Common Multiple of 56973 and 56980?

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 56973 and 56980 is 463760220.

LCM(56973,56980) = 463760220

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Least Common Multiple of 56973 and 56980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56973 and 56980, than apply into the LCM equation.

GCF(56973,56980) = 7
LCM(56973,56980) = ( 56973 × 56980) / 7
LCM(56973,56980) = 3246321540 / 7
LCM(56973,56980) = 463760220

Least Common Multiple (LCM) of 56973 and 56980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56973 and 56980. First we will calculate the prime factors of 56973 and 56980.

Prime Factorization of 56973

Prime factors of 56973 are 3, 7, 2713. Prime factorization of 56973 in exponential form is:

56973 = 31 × 71 × 27131

Prime Factorization of 56980

Prime factors of 56980 are 2, 5, 7, 11, 37. Prime factorization of 56980 in exponential form is:

56980 = 22 × 51 × 71 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 56973 and 56980.

LCM(56973,56980) = 31 × 71 × 27131 × 22 × 51 × 111 × 371
LCM(56973,56980) = 463760220