What is the Least Common Multiple of 14624 and 14638?

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 14624 and 14638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14624 and 14638, than apply into the LCM equation.

GCF(14624,14638) = 2
LCM(14624,14638) = ( 14624 × 14638) / 2
LCM(14624,14638) = 214066112 / 2
LCM(14624,14638) = 107033056

Least Common Multiple (LCM) of 14624 and 14638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14624 and 14638. First we will calculate the prime factors of 14624 and 14638.

Prime Factorization of 14624

Prime Factorization of 14638

Now multiplying the highest exponent prime factors to calculate the LCM of 14624 and 14638.

LCM(14624,14638) = 2⁵ × 457¹ × 13¹ × 563¹
LCM(14624,14638) = 107033056