What is the Least Common Multiple of 72959 and 72964?

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 72959 and 72964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72959 and 72964, than apply into the LCM equation.

GCF(72959,72964) = 1
LCM(72959,72964) = ( 72959 × 72964) / 1
LCM(72959,72964) = 5323380476 / 1
LCM(72959,72964) = 5323380476

Least Common Multiple (LCM) of 72959 and 72964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72959 and 72964. First we will calculate the prime factors of 72959 and 72964.

Prime Factorization of 72959

Prime Factorization of 72964

Now multiplying the highest exponent prime factors to calculate the LCM of 72959 and 72964.

LCM(72959,72964) = 72959¹ × 2² × 17¹ × 29¹ × 37¹
LCM(72959,72964) = 5323380476