What is the Least Common Multiple of 9604 and 9624?

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 9604 and 9624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9604 and 9624, than apply into the LCM equation.

GCF(9604,9624) = 4
LCM(9604,9624) = ( 9604 × 9624) / 4
LCM(9604,9624) = 92428896 / 4
LCM(9604,9624) = 23107224

Least Common Multiple (LCM) of 9604 and 9624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9604 and 9624. First we will calculate the prime factors of 9604 and 9624.

Prime Factorization of 9604

Prime Factorization of 9624

Now multiplying the highest exponent prime factors to calculate the LCM of 9604 and 9624.

LCM(9604,9624) = 2³ × 7⁴ × 3¹ × 401¹
LCM(9604,9624) = 23107224