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What is the Least Common Multiple of 56918 and 56928?

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 56918 and 56928 is 1620113952.

LCM(56918,56928) = 1620113952

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Least Common Multiple of 56918 and 56928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56918 and 56928, than apply into the LCM equation.

GCF(56918,56928) = 2
LCM(56918,56928) = ( 56918 × 56928) / 2
LCM(56918,56928) = 3240227904 / 2
LCM(56918,56928) = 1620113952

Least Common Multiple (LCM) of 56918 and 56928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56918 and 56928. First we will calculate the prime factors of 56918 and 56928.

Prime Factorization of 56918

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

56918 = 21 × 1491 × 1911

Prime Factorization of 56928

Prime factors of 56928 are 2, 3, 593. Prime factorization of 56928 in exponential form is:

56928 = 25 × 31 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 56918 and 56928.

LCM(56918,56928) = 25 × 1491 × 1911 × 31 × 5931
LCM(56918,56928) = 1620113952