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What is the Least Common Multiple of 9638 and 9647?

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 9638 and 9647 is 92977786.

LCM(9638,9647) = 92977786

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Least Common Multiple of 9638 and 9647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9638 and 9647, than apply into the LCM equation.

GCF(9638,9647) = 1
LCM(9638,9647) = ( 9638 × 9647) / 1
LCM(9638,9647) = 92977786 / 1
LCM(9638,9647) = 92977786

Least Common Multiple (LCM) of 9638 and 9647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9638 and 9647. First we will calculate the prime factors of 9638 and 9647.

Prime Factorization of 9638

Prime factors of 9638 are 2, 61, 79. Prime factorization of 9638 in exponential form is:

9638 = 21 × 611 × 791

Prime Factorization of 9647

Prime factors of 9647 are 11, 877. Prime factorization of 9647 in exponential form is:

9647 = 111 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 9638 and 9647.

LCM(9638,9647) = 21 × 611 × 791 × 111 × 8771
LCM(9638,9647) = 92977786