What is the Least Common Multiple of 9564 and 9578?

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 9564 and 9578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9564 and 9578, than apply into the LCM equation.

GCF(9564,9578) = 2
LCM(9564,9578) = ( 9564 × 9578) / 2
LCM(9564,9578) = 91603992 / 2
LCM(9564,9578) = 45801996

Least Common Multiple (LCM) of 9564 and 9578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9564 and 9578. First we will calculate the prime factors of 9564 and 9578.

Prime Factorization of 9564

Prime Factorization of 9578

Now multiplying the highest exponent prime factors to calculate the LCM of 9564 and 9578.

LCM(9564,9578) = 2² × 3¹ × 797¹ × 4789¹
LCM(9564,9578) = 45801996