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What is the Least Common Multiple of 77863 and 77876?

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 77863 and 77876 is 6063658988.

LCM(77863,77876) = 6063658988

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Least Common Multiple of 77863 and 77876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77863 and 77876, than apply into the LCM equation.

GCF(77863,77876) = 1
LCM(77863,77876) = ( 77863 × 77876) / 1
LCM(77863,77876) = 6063658988 / 1
LCM(77863,77876) = 6063658988

Least Common Multiple (LCM) of 77863 and 77876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77863 and 77876. First we will calculate the prime factors of 77863 and 77876.

Prime Factorization of 77863

Prime factors of 77863 are 77863. Prime factorization of 77863 in exponential form is:

77863 = 778631

Prime Factorization of 77876

Prime factors of 77876 are 2, 19469. Prime factorization of 77876 in exponential form is:

77876 = 22 × 194691

Now multiplying the highest exponent prime factors to calculate the LCM of 77863 and 77876.

LCM(77863,77876) = 778631 × 22 × 194691
LCM(77863,77876) = 6063658988