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What is the Least Common Multiple of 56907 and 56918?

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 56907 and 56918 is 3239032626.

LCM(56907,56918) = 3239032626

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Least Common Multiple of 56907 and 56918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56907 and 56918, than apply into the LCM equation.

GCF(56907,56918) = 1
LCM(56907,56918) = ( 56907 × 56918) / 1
LCM(56907,56918) = 3239032626 / 1
LCM(56907,56918) = 3239032626

Least Common Multiple (LCM) of 56907 and 56918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56907 and 56918. First we will calculate the prime factors of 56907 and 56918.

Prime Factorization of 56907

Prime factors of 56907 are 3, 6323. Prime factorization of 56907 in exponential form is:

56907 = 32 × 63231

Prime Factorization of 56918

Prime factors of 56918 are 2, 149, 191. Prime factorization of 56918 in exponential form is:

56918 = 21 × 1491 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 56907 and 56918.

LCM(56907,56918) = 32 × 63231 × 21 × 1491 × 1911
LCM(56907,56918) = 3239032626