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What is the Least Common Multiple of 9651 and 9667?

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 9651 and 9667 is 93296217.

LCM(9651,9667) = 93296217

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Least Common Multiple of 9651 and 9667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9651 and 9667, than apply into the LCM equation.

GCF(9651,9667) = 1
LCM(9651,9667) = ( 9651 × 9667) / 1
LCM(9651,9667) = 93296217 / 1
LCM(9651,9667) = 93296217

Least Common Multiple (LCM) of 9651 and 9667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9651 and 9667. First we will calculate the prime factors of 9651 and 9667.

Prime Factorization of 9651

Prime factors of 9651 are 3, 3217. Prime factorization of 9651 in exponential form is:

9651 = 31 × 32171

Prime Factorization of 9667

Prime factors of 9667 are 7, 1381. Prime factorization of 9667 in exponential form is:

9667 = 71 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 9651 and 9667.

LCM(9651,9667) = 31 × 32171 × 71 × 13811
LCM(9651,9667) = 93296217