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What is the Least Common Multiple of 56903 and 56907?

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 56903 and 56907 is 3238179021.

LCM(56903,56907) = 3238179021

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Least Common Multiple of 56903 and 56907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56903 and 56907, than apply into the LCM equation.

GCF(56903,56907) = 1
LCM(56903,56907) = ( 56903 × 56907) / 1
LCM(56903,56907) = 3238179021 / 1
LCM(56903,56907) = 3238179021

Least Common Multiple (LCM) of 56903 and 56907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56903 and 56907. First we will calculate the prime factors of 56903 and 56907.

Prime Factorization of 56903

Prime factors of 56903 are 7, 11, 739. Prime factorization of 56903 in exponential form is:

56903 = 71 × 111 × 7391

Prime Factorization of 56907

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

56907 = 32 × 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 56903 and 56907.

LCM(56903,56907) = 71 × 111 × 7391 × 32 × 63231
LCM(56903,56907) = 3238179021