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What is the Least Common Multiple of 9632 and 9638?

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 9632 and 9638 is 46416608.

LCM(9632,9638) = 46416608

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Least Common Multiple of 9632 and 9638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9632 and 9638, than apply into the LCM equation.

GCF(9632,9638) = 2
LCM(9632,9638) = ( 9632 × 9638) / 2
LCM(9632,9638) = 92833216 / 2
LCM(9632,9638) = 46416608

Least Common Multiple (LCM) of 9632 and 9638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9632 and 9638. First we will calculate the prime factors of 9632 and 9638.

Prime Factorization of 9632

Prime factors of 9632 are 2, 7, 43. Prime factorization of 9632 in exponential form is:

9632 = 25 × 71 × 431

Prime Factorization of 9638

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

9638 = 21 × 611 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 9632 and 9638.

LCM(9632,9638) = 25 × 71 × 431 × 611 × 791
LCM(9632,9638) = 46416608