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What is the Least Common Multiple of 56924 and 56944?

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 56924 and 56944 is 810370064.

LCM(56924,56944) = 810370064

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Least Common Multiple of 56924 and 56944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56924 and 56944, than apply into the LCM equation.

GCF(56924,56944) = 4
LCM(56924,56944) = ( 56924 × 56944) / 4
LCM(56924,56944) = 3241480256 / 4
LCM(56924,56944) = 810370064

Least Common Multiple (LCM) of 56924 and 56944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56924 and 56944. First we will calculate the prime factors of 56924 and 56944.

Prime Factorization of 56924

Prime factors of 56924 are 2, 7, 19, 107. Prime factorization of 56924 in exponential form is:

56924 = 22 × 71 × 191 × 1071

Prime Factorization of 56944

Prime factors of 56944 are 2, 3559. Prime factorization of 56944 in exponential form is:

56944 = 24 × 35591

Now multiplying the highest exponent prime factors to calculate the LCM of 56924 and 56944.

LCM(56924,56944) = 24 × 71 × 191 × 1071 × 35591
LCM(56924,56944) = 810370064