What is the Least Common Multiple of 42944 and 42951?

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 42951 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 42951, than apply into the LCM equation.

GCF(42944,42951) = 1
LCM(42944,42951) = ( 42944 × 42951) / 1
LCM(42944,42951) = 1844487744 / 1
LCM(42944,42951) = 1844487744

Least Common Multiple (LCM) of 42944 and 42951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42944 and 42951. First we will calculate the prime factors of 42944 and 42951.

Prime Factorization of 42944

Prime Factorization of 42951

Now multiplying the highest exponent prime factors to calculate the LCM of 42944 and 42951.

LCM(42944,42951) = 2⁶ × 11¹ × 61¹ × 3¹ × 103¹ × 139¹
LCM(42944,42951) = 1844487744