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What is the Least Common Multiple of 76938 and 76944?

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 76938 and 76944 is 986652912.

LCM(76938,76944) = 986652912

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Least Common Multiple of 76938 and 76944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76938 and 76944, than apply into the LCM equation.

GCF(76938,76944) = 6
LCM(76938,76944) = ( 76938 × 76944) / 6
LCM(76938,76944) = 5919917472 / 6
LCM(76938,76944) = 986652912

Least Common Multiple (LCM) of 76938 and 76944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76938 and 76944. First we will calculate the prime factors of 76938 and 76944.

Prime Factorization of 76938

Prime factors of 76938 are 2, 3, 12823. Prime factorization of 76938 in exponential form is:

76938 = 21 × 31 × 128231

Prime Factorization of 76944

Prime factors of 76944 are 2, 3, 7, 229. Prime factorization of 76944 in exponential form is:

76944 = 24 × 31 × 71 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 76938 and 76944.

LCM(76938,76944) = 24 × 31 × 128231 × 71 × 2291
LCM(76938,76944) = 986652912