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What is the Least Common Multiple of 9601 and 9605?

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 9601 and 9605 is 92217605.

LCM(9601,9605) = 92217605

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Least Common Multiple of 9601 and 9605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9601 and 9605, than apply into the LCM equation.

GCF(9601,9605) = 1
LCM(9601,9605) = ( 9601 × 9605) / 1
LCM(9601,9605) = 92217605 / 1
LCM(9601,9605) = 92217605

Least Common Multiple (LCM) of 9601 and 9605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9601 and 9605. First we will calculate the prime factors of 9601 and 9605.

Prime Factorization of 9601

Prime factors of 9601 are 9601. Prime factorization of 9601 in exponential form is:

9601 = 96011

Prime Factorization of 9605

Prime factors of 9605 are 5, 17, 113. Prime factorization of 9605 in exponential form is:

9605 = 51 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 9601 and 9605.

LCM(9601,9605) = 96011 × 51 × 171 × 1131
LCM(9601,9605) = 92217605