What is the Least Common Multiple of 72984 and 72990?

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 72990 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 72990, than apply into the LCM equation.

GCF(72984,72990) = 6
LCM(72984,72990) = ( 72984 × 72990) / 6
LCM(72984,72990) = 5327102160 / 6
LCM(72984,72990) = 887850360

Least Common Multiple (LCM) of 72984 and 72990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72984 and 72990. First we will calculate the prime factors of 72984 and 72990.

Prime Factorization of 72984

Prime Factorization of 72990

Now multiplying the highest exponent prime factors to calculate the LCM of 72984 and 72990.

LCM(72984,72990) = 2³ × 3² × 3041¹ × 5¹ × 811¹
LCM(72984,72990) = 887850360