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What is the Least Common Multiple of 76919 and 76929?

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 76919 and 76929 is 5917301751.

LCM(76919,76929) = 5917301751

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Least Common Multiple of 76919 and 76929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76919 and 76929, than apply into the LCM equation.

GCF(76919,76929) = 1
LCM(76919,76929) = ( 76919 × 76929) / 1
LCM(76919,76929) = 5917301751 / 1
LCM(76919,76929) = 5917301751

Least Common Multiple (LCM) of 76919 and 76929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76919 and 76929. First we will calculate the prime factors of 76919 and 76929.

Prime Factorization of 76919

Prime factors of 76919 are 76919. Prime factorization of 76919 in exponential form is:

76919 = 769191

Prime Factorization of 76929

Prime factors of 76929 are 3, 25643. Prime factorization of 76929 in exponential form is:

76929 = 31 × 256431

Now multiplying the highest exponent prime factors to calculate the LCM of 76919 and 76929.

LCM(76919,76929) = 769191 × 31 × 256431
LCM(76919,76929) = 5917301751