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What is the Least Common Multiple of 9664 and 9679?

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 9664 and 9679 is 93537856.

LCM(9664,9679) = 93537856

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Least Common Multiple of 9664 and 9679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9664 and 9679, than apply into the LCM equation.

GCF(9664,9679) = 1
LCM(9664,9679) = ( 9664 × 9679) / 1
LCM(9664,9679) = 93537856 / 1
LCM(9664,9679) = 93537856

Least Common Multiple (LCM) of 9664 and 9679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9664 and 9679. First we will calculate the prime factors of 9664 and 9679.

Prime Factorization of 9664

Prime factors of 9664 are 2, 151. Prime factorization of 9664 in exponential form is:

9664 = 26 × 1511

Prime Factorization of 9679

Prime factors of 9679 are 9679. Prime factorization of 9679 in exponential form is:

9679 = 96791

Now multiplying the highest exponent prime factors to calculate the LCM of 9664 and 9679.

LCM(9664,9679) = 26 × 1511 × 96791
LCM(9664,9679) = 93537856