What is the Least Common Multiple of 18072 and 18080?

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 18072 and 18080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18072 and 18080, than apply into the LCM equation.

GCF(18072,18080) = 8
LCM(18072,18080) = ( 18072 × 18080) / 8
LCM(18072,18080) = 326741760 / 8
LCM(18072,18080) = 40842720

Least Common Multiple (LCM) of 18072 and 18080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18072 and 18080. First we will calculate the prime factors of 18072 and 18080.

Prime Factorization of 18072

Prime Factorization of 18080

Now multiplying the highest exponent prime factors to calculate the LCM of 18072 and 18080.

LCM(18072,18080) = 2⁵ × 3² × 251¹ × 5¹ × 113¹
LCM(18072,18080) = 40842720