What is the Least Common Multiple of 29604 and 29624?

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 29604 and 29624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29604 and 29624, than apply into the LCM equation.

GCF(29604,29624) = 4
LCM(29604,29624) = ( 29604 × 29624) / 4
LCM(29604,29624) = 876988896 / 4
LCM(29604,29624) = 219247224

Least Common Multiple (LCM) of 29604 and 29624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29604 and 29624. First we will calculate the prime factors of 29604 and 29624.

Prime Factorization of 29604

Prime Factorization of 29624

Now multiplying the highest exponent prime factors to calculate the LCM of 29604 and 29624.

LCM(29604,29624) = 2³ × 3¹ × 2467¹ × 7¹ × 23²
LCM(29604,29624) = 219247224