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What is the Least Common Multiple of 9606 and 9625?

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 9606 and 9625 is 92457750.

LCM(9606,9625) = 92457750

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Least Common Multiple of 9606 and 9625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9606 and 9625, than apply into the LCM equation.

GCF(9606,9625) = 1
LCM(9606,9625) = ( 9606 × 9625) / 1
LCM(9606,9625) = 92457750 / 1
LCM(9606,9625) = 92457750

Least Common Multiple (LCM) of 9606 and 9625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9606 and 9625. First we will calculate the prime factors of 9606 and 9625.

Prime Factorization of 9606

Prime factors of 9606 are 2, 3, 1601. Prime factorization of 9606 in exponential form is:

9606 = 21 × 31 × 16011

Prime Factorization of 9625

Prime factors of 9625 are 5, 7, 11. Prime factorization of 9625 in exponential form is:

9625 = 53 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 9606 and 9625.

LCM(9606,9625) = 21 × 31 × 16011 × 53 × 71 × 111
LCM(9606,9625) = 92457750