What is the Least Common Multiple of 96648 and 96653?

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 96653 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 96653, than apply into the LCM equation.

GCF(96648,96653) = 1
LCM(96648,96653) = ( 96648 × 96653) / 1
LCM(96648,96653) = 9341319144 / 1
LCM(96648,96653) = 9341319144

Least Common Multiple (LCM) of 96648 and 96653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96648 and 96653. First we will calculate the prime factors of 96648 and 96653.

Prime Factorization of 96648

Prime Factorization of 96653

Now multiplying the highest exponent prime factors to calculate the LCM of 96648 and 96653.

LCM(96648,96653) = 2³ × 3¹ × 4027¹ × 19¹ × 5087¹
LCM(96648,96653) = 9341319144