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What is the Least Common Multiple of 61631 and 61651?

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 61631 and 61651 is 3799612781.

LCM(61631,61651) = 3799612781

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Least Common Multiple of 61631 and 61651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61631 and 61651, than apply into the LCM equation.

GCF(61631,61651) = 1
LCM(61631,61651) = ( 61631 × 61651) / 1
LCM(61631,61651) = 3799612781 / 1
LCM(61631,61651) = 3799612781

Least Common Multiple (LCM) of 61631 and 61651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61631 and 61651. First we will calculate the prime factors of 61631 and 61651.

Prime Factorization of 61631

Prime factors of 61631 are 61631. Prime factorization of 61631 in exponential form is:

61631 = 616311

Prime Factorization of 61651

Prime factors of 61651 are 61651. Prime factorization of 61651 in exponential form is:

61651 = 616511

Now multiplying the highest exponent prime factors to calculate the LCM of 61631 and 61651.

LCM(61631,61651) = 616311 × 616511
LCM(61631,61651) = 3799612781