What is the Least Common Multiple of 14604 and 14624?

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 14604 and 14624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14604 and 14624, than apply into the LCM equation.

GCF(14604,14624) = 4
LCM(14604,14624) = ( 14604 × 14624) / 4
LCM(14604,14624) = 213568896 / 4
LCM(14604,14624) = 53392224

Least Common Multiple (LCM) of 14604 and 14624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14604 and 14624. First we will calculate the prime factors of 14604 and 14624.

Prime Factorization of 14604

Prime Factorization of 14624

Now multiplying the highest exponent prime factors to calculate the LCM of 14604 and 14624.

LCM(14604,14624) = 2⁵ × 3¹ × 1217¹ × 457¹
LCM(14604,14624) = 53392224