What is the Least Common Multiple of 42944 and 42952?

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 42944 and 42952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42944 and 42952, than apply into the LCM equation.

GCF(42944,42952) = 8
LCM(42944,42952) = ( 42944 × 42952) / 8
LCM(42944,42952) = 1844530688 / 8
LCM(42944,42952) = 230566336

Least Common Multiple (LCM) of 42944 and 42952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42944 and 42952. First we will calculate the prime factors of 42944 and 42952.

Prime Factorization of 42944

Prime Factorization of 42952

Now multiplying the highest exponent prime factors to calculate the LCM of 42944 and 42952.

LCM(42944,42952) = 2⁶ × 11¹ × 61¹ × 7¹ × 13¹ × 59¹
LCM(42944,42952) = 230566336