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What is the Least Common Multiple of 77637 and 77650?

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 77637 and 77650 is 6028513050.

LCM(77637,77650) = 6028513050

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Least Common Multiple of 77637 and 77650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77637 and 77650, than apply into the LCM equation.

GCF(77637,77650) = 1
LCM(77637,77650) = ( 77637 × 77650) / 1
LCM(77637,77650) = 6028513050 / 1
LCM(77637,77650) = 6028513050

Least Common Multiple (LCM) of 77637 and 77650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77637 and 77650. First we will calculate the prime factors of 77637 and 77650.

Prime Factorization of 77637

Prime factors of 77637 are 3, 7, 3697. Prime factorization of 77637 in exponential form is:

77637 = 31 × 71 × 36971

Prime Factorization of 77650

Prime factors of 77650 are 2, 5, 1553. Prime factorization of 77650 in exponential form is:

77650 = 21 × 52 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 77637 and 77650.

LCM(77637,77650) = 31 × 71 × 36971 × 21 × 52 × 15531
LCM(77637,77650) = 6028513050