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What is the Least Common Multiple of 56894 and 56903?

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 56894 and 56903 is 3237439282.

LCM(56894,56903) = 3237439282

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Least Common Multiple of 56894 and 56903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56894 and 56903, than apply into the LCM equation.

GCF(56894,56903) = 1
LCM(56894,56903) = ( 56894 × 56903) / 1
LCM(56894,56903) = 3237439282 / 1
LCM(56894,56903) = 3237439282

Least Common Multiple (LCM) of 56894 and 56903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56894 and 56903. First we will calculate the prime factors of 56894 and 56903.

Prime Factorization of 56894

Prime factors of 56894 are 2, 28447. Prime factorization of 56894 in exponential form is:

56894 = 21 × 284471

Prime Factorization of 56903

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

56903 = 71 × 111 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 56894 and 56903.

LCM(56894,56903) = 21 × 284471 × 71 × 111 × 7391
LCM(56894,56903) = 3237439282