What is the Least Common Multiple of 14944 and 14952?

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 14944 and 14952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14944 and 14952, than apply into the LCM equation.

GCF(14944,14952) = 8
LCM(14944,14952) = ( 14944 × 14952) / 8
LCM(14944,14952) = 223442688 / 8
LCM(14944,14952) = 27930336

Least Common Multiple (LCM) of 14944 and 14952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14944 and 14952. First we will calculate the prime factors of 14944 and 14952.

Prime Factorization of 14944

Prime Factorization of 14952

Now multiplying the highest exponent prime factors to calculate the LCM of 14944 and 14952.

LCM(14944,14952) = 2⁵ × 467¹ × 3¹ × 7¹ × 89¹
LCM(14944,14952) = 27930336