What is the Least Common Multiple of 9624 and 9636?

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 9636 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 9636, than apply into the LCM equation.

GCF(9624,9636) = 12
LCM(9624,9636) = ( 9624 × 9636) / 12
LCM(9624,9636) = 92736864 / 12
LCM(9624,9636) = 7728072

Least Common Multiple (LCM) of 9624 and 9636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9624 and 9636. First we will calculate the prime factors of 9624 and 9636.

Prime Factorization of 9624

Prime Factorization of 9636

Now multiplying the highest exponent prime factors to calculate the LCM of 9624 and 9636.

LCM(9624,9636) = 2³ × 3¹ × 401¹ × 11¹ × 73¹
LCM(9624,9636) = 7728072