What is the Least Common Multiple of 72944 and 72959?

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 72944 and 72959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72944 and 72959, than apply into the LCM equation.

GCF(72944,72959) = 1
LCM(72944,72959) = ( 72944 × 72959) / 1
LCM(72944,72959) = 5321921296 / 1
LCM(72944,72959) = 5321921296

Least Common Multiple (LCM) of 72944 and 72959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72944 and 72959. First we will calculate the prime factors of 72944 and 72959.

Prime Factorization of 72944

Prime Factorization of 72959

Now multiplying the highest exponent prime factors to calculate the LCM of 72944 and 72959.

LCM(72944,72959) = 2⁴ × 47¹ × 97¹ × 72959¹
LCM(72944,72959) = 5321921296