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What is the Least Common Multiple of 9641 and 9657?

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 9641 and 9657 is 93103137.

LCM(9641,9657) = 93103137

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Least Common Multiple of 9641 and 9657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9641 and 9657, than apply into the LCM equation.

GCF(9641,9657) = 1
LCM(9641,9657) = ( 9641 × 9657) / 1
LCM(9641,9657) = 93103137 / 1
LCM(9641,9657) = 93103137

Least Common Multiple (LCM) of 9641 and 9657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9641 and 9657. First we will calculate the prime factors of 9641 and 9657.

Prime Factorization of 9641

Prime factors of 9641 are 31, 311. Prime factorization of 9641 in exponential form is:

9641 = 311 × 3111

Prime Factorization of 9657

Prime factors of 9657 are 3, 29, 37. Prime factorization of 9657 in exponential form is:

9657 = 32 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 9641 and 9657.

LCM(9641,9657) = 311 × 3111 × 32 × 291 × 371
LCM(9641,9657) = 93103137