What is the Least Common Multiple of 96748 and 96754?

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 96748 and 96754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96748 and 96754, than apply into the LCM equation.

GCF(96748,96754) = 2
LCM(96748,96754) = ( 96748 × 96754) / 2
LCM(96748,96754) = 9360755992 / 2
LCM(96748,96754) = 4680377996

Least Common Multiple (LCM) of 96748 and 96754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96748 and 96754. First we will calculate the prime factors of 96748 and 96754.

Prime Factorization of 96748

Prime Factorization of 96754

Now multiplying the highest exponent prime factors to calculate the LCM of 96748 and 96754.

LCM(96748,96754) = 2² × 19² × 67¹ × 7¹ × 6911¹
LCM(96748,96754) = 4680377996