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What is the Least Common Multiple of 9634 and 9644?

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 9634 and 9644 is 46455148.

LCM(9634,9644) = 46455148

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Least Common Multiple of 9634 and 9644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9634 and 9644, than apply into the LCM equation.

GCF(9634,9644) = 2
LCM(9634,9644) = ( 9634 × 9644) / 2
LCM(9634,9644) = 92910296 / 2
LCM(9634,9644) = 46455148

Least Common Multiple (LCM) of 9634 and 9644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9634 and 9644. First we will calculate the prime factors of 9634 and 9644.

Prime Factorization of 9634

Prime factors of 9634 are 2, 4817. Prime factorization of 9634 in exponential form is:

9634 = 21 × 48171

Prime Factorization of 9644

Prime factors of 9644 are 2, 2411. Prime factorization of 9644 in exponential form is:

9644 = 22 × 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 9634 and 9644.

LCM(9634,9644) = 22 × 48171 × 24111
LCM(9634,9644) = 46455148