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What is the Least Common Multiple of 77863 and 77868?

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 77868 is 6063036084.

LCM(77863,77868) = 6063036084

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Least Common Multiple of 77863 and 77868 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 77868, than apply into the LCM equation.

GCF(77863,77868) = 1
LCM(77863,77868) = ( 77863 × 77868) / 1
LCM(77863,77868) = 6063036084 / 1
LCM(77863,77868) = 6063036084

Least Common Multiple (LCM) of 77863 and 77868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77863 and 77868. First we will calculate the prime factors of 77863 and 77868.

Prime Factorization of 77863

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

77863 = 778631

Prime Factorization of 77868

Prime factors of 77868 are 2, 3, 7, 103. Prime factorization of 77868 in exponential form is:

77868 = 22 × 33 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 77863 and 77868.

LCM(77863,77868) = 778631 × 22 × 33 × 71 × 1031
LCM(77863,77868) = 6063036084