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What is the Least Common Multiple of 9654 and 9668?

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 9654 and 9668 is 46667436.

LCM(9654,9668) = 46667436

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Least Common Multiple of 9654 and 9668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9654 and 9668, than apply into the LCM equation.

GCF(9654,9668) = 2
LCM(9654,9668) = ( 9654 × 9668) / 2
LCM(9654,9668) = 93334872 / 2
LCM(9654,9668) = 46667436

Least Common Multiple (LCM) of 9654 and 9668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9654 and 9668. First we will calculate the prime factors of 9654 and 9668.

Prime Factorization of 9654

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

9654 = 21 × 31 × 16091

Prime Factorization of 9668

Prime factors of 9668 are 2, 2417. Prime factorization of 9668 in exponential form is:

9668 = 22 × 24171

Now multiplying the highest exponent prime factors to calculate the LCM of 9654 and 9668.

LCM(9654,9668) = 22 × 31 × 16091 × 24171
LCM(9654,9668) = 46667436