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What is the Least Common Multiple of 9756 and 9767?

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 9756 and 9767 is 95286852.

LCM(9756,9767) = 95286852

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Least Common Multiple of 9756 and 9767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9756 and 9767, than apply into the LCM equation.

GCF(9756,9767) = 1
LCM(9756,9767) = ( 9756 × 9767) / 1
LCM(9756,9767) = 95286852 / 1
LCM(9756,9767) = 95286852

Least Common Multiple (LCM) of 9756 and 9767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9756 and 9767. First we will calculate the prime factors of 9756 and 9767.

Prime Factorization of 9756

Prime factors of 9756 are 2, 3, 271. Prime factorization of 9756 in exponential form is:

9756 = 22 × 32 × 2711

Prime Factorization of 9767

Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:

9767 = 97671

Now multiplying the highest exponent prime factors to calculate the LCM of 9756 and 9767.

LCM(9756,9767) = 22 × 32 × 2711 × 97671
LCM(9756,9767) = 95286852