What is the Least Common Multiple of 72961 and 72967?

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 72961 and 72967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72961 and 72967, than apply into the LCM equation.

GCF(72961,72967) = 1
LCM(72961,72967) = ( 72961 × 72967) / 1
LCM(72961,72967) = 5323745287 / 1
LCM(72961,72967) = 5323745287

Least Common Multiple (LCM) of 72961 and 72967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72961 and 72967. First we will calculate the prime factors of 72961 and 72967.

Prime Factorization of 72961

Prime Factorization of 72967

Now multiplying the highest exponent prime factors to calculate the LCM of 72961 and 72967.

LCM(72961,72967) = 7² × 1489¹ × 131¹ × 557¹
LCM(72961,72967) = 5323745287