What is the Least Common Multiple of 72984 and 72989?

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 72984 and 72989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72984 and 72989, than apply into the LCM equation.

GCF(72984,72989) = 1
LCM(72984,72989) = ( 72984 × 72989) / 1
LCM(72984,72989) = 5327029176 / 1
LCM(72984,72989) = 5327029176

Least Common Multiple (LCM) of 72984 and 72989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72984 and 72989. First we will calculate the prime factors of 72984 and 72989.

Prime Factorization of 72984

Prime Factorization of 72989

Now multiplying the highest exponent prime factors to calculate the LCM of 72984 and 72989.

LCM(72984,72989) = 2³ × 3¹ × 3041¹ × 7¹ × 10427¹
LCM(72984,72989) = 5327029176