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What is the Least Common Multiple of 56373 and 56380?

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 56373 and 56380 is 3178309740.

LCM(56373,56380) = 3178309740

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Least Common Multiple of 56373 and 56380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56373 and 56380, than apply into the LCM equation.

GCF(56373,56380) = 1
LCM(56373,56380) = ( 56373 × 56380) / 1
LCM(56373,56380) = 3178309740 / 1
LCM(56373,56380) = 3178309740

Least Common Multiple (LCM) of 56373 and 56380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56373 and 56380. First we will calculate the prime factors of 56373 and 56380.

Prime Factorization of 56373

Prime factors of 56373 are 3, 19, 23, 43. Prime factorization of 56373 in exponential form is:

56373 = 31 × 191 × 231 × 431

Prime Factorization of 56380

Prime factors of 56380 are 2, 5, 2819. Prime factorization of 56380 in exponential form is:

56380 = 22 × 51 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 56373 and 56380.

LCM(56373,56380) = 31 × 191 × 231 × 431 × 22 × 51 × 28191
LCM(56373,56380) = 3178309740