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What is the Least Common Multiple of 76864 and 76876?

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 76864 and 76876 is 1477249216.

LCM(76864,76876) = 1477249216

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Least Common Multiple of 76864 and 76876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76864 and 76876, than apply into the LCM equation.

GCF(76864,76876) = 4
LCM(76864,76876) = ( 76864 × 76876) / 4
LCM(76864,76876) = 5908996864 / 4
LCM(76864,76876) = 1477249216

Least Common Multiple (LCM) of 76864 and 76876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76864 and 76876. First we will calculate the prime factors of 76864 and 76876.

Prime Factorization of 76864

Prime factors of 76864 are 2, 1201. Prime factorization of 76864 in exponential form is:

76864 = 26 × 12011

Prime Factorization of 76876

Prime factors of 76876 are 2, 19219. Prime factorization of 76876 in exponential form is:

76876 = 22 × 192191

Now multiplying the highest exponent prime factors to calculate the LCM of 76864 and 76876.

LCM(76864,76876) = 26 × 12011 × 192191
LCM(76864,76876) = 1477249216