What is the Least Common Multiple of 9624 and 9628?

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 9624 and 9628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9624 and 9628, than apply into the LCM equation.

GCF(9624,9628) = 4
LCM(9624,9628) = ( 9624 × 9628) / 4
LCM(9624,9628) = 92659872 / 4
LCM(9624,9628) = 23164968

Least Common Multiple (LCM) of 9624 and 9628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9628. First we will calculate the prime factors of 9624 and 9628.

Prime Factorization of 9624

Prime Factorization of 9628

Now multiplying the highest exponent prime factors to calculate the LCM of 9624 and 9628.

LCM(9624,9628) = 2³ × 3¹ × 401¹ × 29¹ × 83¹
LCM(9624,9628) = 23164968