What is the Least Common Multiple of 29608 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 29608 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 29608 and 29624, than apply into the LCM equation.

GCF(29608,29624) = 8
LCM(29608,29624) = ( 29608 × 29624) / 8
LCM(29608,29624) = 877107392 / 8
LCM(29608,29624) = 109638424

Least Common Multiple (LCM) of 29608 and 29624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29608 and 29624. First we will calculate the prime factors of 29608 and 29624.

Prime Factorization of 29608

Prime Factorization of 29624

Now multiplying the highest exponent prime factors to calculate the LCM of 29608 and 29624.

LCM(29608,29624) = 2³ × 3701¹ × 7¹ × 23²
LCM(29608,29624) = 109638424