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What is the Least Common Multiple of 56373 and 56392?

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 56392 is 167315064.

LCM(56373,56392) = 167315064

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Least Common Multiple of 56373 and 56392 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 56392, than apply into the LCM equation.

GCF(56373,56392) = 19
LCM(56373,56392) = ( 56373 × 56392) / 19
LCM(56373,56392) = 3178986216 / 19
LCM(56373,56392) = 167315064

Least Common Multiple (LCM) of 56373 and 56392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56373 and 56392. First we will calculate the prime factors of 56373 and 56392.

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 56392

Prime factors of 56392 are 2, 7, 19, 53. Prime factorization of 56392 in exponential form is:

56392 = 23 × 71 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 56373 and 56392.

LCM(56373,56392) = 31 × 191 × 231 × 431 × 23 × 71 × 531
LCM(56373,56392) = 167315064