What is the Least Common Multiple of 14924 and 14944?

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 14924 and 14944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14924 and 14944, than apply into the LCM equation.

GCF(14924,14944) = 4
LCM(14924,14944) = ( 14924 × 14944) / 4
LCM(14924,14944) = 223024256 / 4
LCM(14924,14944) = 55756064

Least Common Multiple (LCM) of 14924 and 14944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14924 and 14944. First we will calculate the prime factors of 14924 and 14944.

Prime Factorization of 14924

Prime Factorization of 14944

Now multiplying the highest exponent prime factors to calculate the LCM of 14924 and 14944.

LCM(14924,14944) = 2⁵ × 7¹ × 13¹ × 41¹ × 467¹
LCM(14924,14944) = 55756064