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What is the Least Common Multiple of 76919 and 76925?

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 76925 is 5916994075.

LCM(76919,76925) = 5916994075

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Least Common Multiple of 76919 and 76925 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 76925, than apply into the LCM equation.

GCF(76919,76925) = 1
LCM(76919,76925) = ( 76919 × 76925) / 1
LCM(76919,76925) = 5916994075 / 1
LCM(76919,76925) = 5916994075

Least Common Multiple (LCM) of 76919 and 76925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76919 and 76925. First we will calculate the prime factors of 76919 and 76925.

Prime Factorization of 76919

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

76919 = 769191

Prime Factorization of 76925

Prime factors of 76925 are 5, 17, 181. Prime factorization of 76925 in exponential form is:

76925 = 52 × 171 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 76919 and 76925.

LCM(76919,76925) = 769191 × 52 × 171 × 1811
LCM(76919,76925) = 5916994075