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What is the Least Common Multiple of 76859 and 76872?

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 76859 and 76872 is 5908305048.

LCM(76859,76872) = 5908305048

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Least Common Multiple of 76859 and 76872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76859 and 76872, than apply into the LCM equation.

GCF(76859,76872) = 1
LCM(76859,76872) = ( 76859 × 76872) / 1
LCM(76859,76872) = 5908305048 / 1
LCM(76859,76872) = 5908305048

Least Common Multiple (LCM) of 76859 and 76872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76859 and 76872. First we will calculate the prime factors of 76859 and 76872.

Prime Factorization of 76859

Prime factors of 76859 are 151, 509. Prime factorization of 76859 in exponential form is:

76859 = 1511 × 5091

Prime Factorization of 76872

Prime factors of 76872 are 2, 3, 3203. Prime factorization of 76872 in exponential form is:

76872 = 23 × 31 × 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 76859 and 76872.

LCM(76859,76872) = 1511 × 5091 × 23 × 31 × 32031
LCM(76859,76872) = 5908305048