What is the Least Common Multiple of 9756 and 9762?

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 of 9756 and 9762 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 9762, than apply into the LCM equation.

GCF(9756,9762) = 6
LCM(9756,9762) = ( 9756 × 9762) / 6
LCM(9756,9762) = 95238072 / 6
LCM(9756,9762) = 15873012

Least Common Multiple (LCM) of 9756 and 9762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9756 and 9762. First we will calculate the prime factors of 9756 and 9762.

Prime Factorization of 9756

Prime Factorization of 9762

Now multiplying the highest exponent prime factors to calculate the LCM of 9756 and 9762.

LCM(9756,9762) = 2² × 3² × 271¹ × 1627¹
LCM(9756,9762) = 15873012