What is the Least Common Multiple of 72968 and 72987?

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 72968 and 72987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72968 and 72987, than apply into the LCM equation.

GCF(72968,72987) = 1
LCM(72968,72987) = ( 72968 × 72987) / 1
LCM(72968,72987) = 5325715416 / 1
LCM(72968,72987) = 5325715416

Least Common Multiple (LCM) of 72968 and 72987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72968 and 72987. First we will calculate the prime factors of 72968 and 72987.

Prime Factorization of 72968

Prime Factorization of 72987

Now multiplying the highest exponent prime factors to calculate the LCM of 72968 and 72987.

LCM(72968,72987) = 2³ × 7¹ × 1303¹ × 3¹ × 24329¹
LCM(72968,72987) = 5325715416