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What is the Least Common Multiple of 56372 and 56387?

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 56372 and 56387 is 3178647964.

LCM(56372,56387) = 3178647964

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Least Common Multiple of 56372 and 56387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56372 and 56387, than apply into the LCM equation.

GCF(56372,56387) = 1
LCM(56372,56387) = ( 56372 × 56387) / 1
LCM(56372,56387) = 3178647964 / 1
LCM(56372,56387) = 3178647964

Least Common Multiple (LCM) of 56372 and 56387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56372 and 56387. First we will calculate the prime factors of 56372 and 56387.

Prime Factorization of 56372

Prime factors of 56372 are 2, 17, 829. Prime factorization of 56372 in exponential form is:

56372 = 22 × 171 × 8291

Prime Factorization of 56387

Prime factors of 56387 are 113, 499. Prime factorization of 56387 in exponential form is:

56387 = 1131 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 56372 and 56387.

LCM(56372,56387) = 22 × 171 × 8291 × 1131 × 4991
LCM(56372,56387) = 3178647964