What is the Least Common Multiple of 42936 and 42944?

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 42936 and 42944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42936 and 42944, than apply into the LCM equation.

GCF(42936,42944) = 8
LCM(42936,42944) = ( 42936 × 42944) / 8
LCM(42936,42944) = 1843843584 / 8
LCM(42936,42944) = 230480448

Least Common Multiple (LCM) of 42936 and 42944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42936 and 42944. First we will calculate the prime factors of 42936 and 42944.

Prime Factorization of 42936

Prime Factorization of 42944

Now multiplying the highest exponent prime factors to calculate the LCM of 42936 and 42944.

LCM(42936,42944) = 2⁶ × 3¹ × 1789¹ × 11¹ × 61¹
LCM(42936,42944) = 230480448