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What is the Least Common Multiple of 65631 and 65647?

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 65631 and 65647 is 4308478257.

LCM(65631,65647) = 4308478257

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Least Common Multiple of 65631 and 65647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65631 and 65647, than apply into the LCM equation.

GCF(65631,65647) = 1
LCM(65631,65647) = ( 65631 × 65647) / 1
LCM(65631,65647) = 4308478257 / 1
LCM(65631,65647) = 4308478257

Least Common Multiple (LCM) of 65631 and 65647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65631 and 65647. First we will calculate the prime factors of 65631 and 65647.

Prime Factorization of 65631

Prime factors of 65631 are 3, 131, 167. Prime factorization of 65631 in exponential form is:

65631 = 31 × 1311 × 1671

Prime Factorization of 65647

Prime factors of 65647 are 65647. Prime factorization of 65647 in exponential form is:

65647 = 656471

Now multiplying the highest exponent prime factors to calculate the LCM of 65631 and 65647.

LCM(65631,65647) = 31 × 1311 × 1671 × 656471
LCM(65631,65647) = 4308478257