What is the Least Common Multiple of 96648 and 96665?

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 96648 and 96665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96648 and 96665, than apply into the LCM equation.

GCF(96648,96665) = 1
LCM(96648,96665) = ( 96648 × 96665) / 1
LCM(96648,96665) = 9342478920 / 1
LCM(96648,96665) = 9342478920

Least Common Multiple (LCM) of 96648 and 96665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96648 and 96665. First we will calculate the prime factors of 96648 and 96665.

Prime Factorization of 96648

Prime Factorization of 96665

Now multiplying the highest exponent prime factors to calculate the LCM of 96648 and 96665.

LCM(96648,96665) = 2³ × 3¹ × 4027¹ × 5¹ × 19333¹
LCM(96648,96665) = 9342478920