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What is the Least Common Multiple of 9638 and 9654?

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 9654 is 46522626.

LCM(9638,9654) = 46522626

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Least Common Multiple of 9638 and 9654 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 9654, than apply into the LCM equation.

GCF(9638,9654) = 2
LCM(9638,9654) = ( 9638 × 9654) / 2
LCM(9638,9654) = 93045252 / 2
LCM(9638,9654) = 46522626

Least Common Multiple (LCM) of 9638 and 9654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9638 and 9654. First we will calculate the prime factors of 9638 and 9654.

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 9654

Prime factors of 9654 are 2, 3, 1609. Prime factorization of 9654 in exponential form is:

9654 = 21 × 31 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 9638 and 9654.

LCM(9638,9654) = 21 × 611 × 791 × 31 × 16091
LCM(9638,9654) = 46522626