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What is the Least Common Multiple of 76632 and 76651?

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 76632 and 76651 is 5873919432.

LCM(76632,76651) = 5873919432

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Least Common Multiple of 76632 and 76651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76632 and 76651, than apply into the LCM equation.

GCF(76632,76651) = 1
LCM(76632,76651) = ( 76632 × 76651) / 1
LCM(76632,76651) = 5873919432 / 1
LCM(76632,76651) = 5873919432

Least Common Multiple (LCM) of 76632 and 76651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76632 and 76651. First we will calculate the prime factors of 76632 and 76651.

Prime Factorization of 76632

Prime factors of 76632 are 2, 3, 31, 103. Prime factorization of 76632 in exponential form is:

76632 = 23 × 31 × 311 × 1031

Prime Factorization of 76651

Prime factors of 76651 are 76651. Prime factorization of 76651 in exponential form is:

76651 = 766511

Now multiplying the highest exponent prime factors to calculate the LCM of 76632 and 76651.

LCM(76632,76651) = 23 × 31 × 311 × 1031 × 766511
LCM(76632,76651) = 5873919432