What is the Least Common Multiple of 18072 and 18092?

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 18092 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 18092, than apply into the LCM equation.

GCF(18072,18092) = 4
LCM(18072,18092) = ( 18072 × 18092) / 4
LCM(18072,18092) = 326958624 / 4
LCM(18072,18092) = 81739656

Least Common Multiple (LCM) of 18072 and 18092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18072 and 18092. First we will calculate the prime factors of 18072 and 18092.

Prime Factorization of 18072

Prime Factorization of 18092

Now multiplying the highest exponent prime factors to calculate the LCM of 18072 and 18092.

LCM(18072,18092) = 2³ × 3² × 251¹ × 4523¹
LCM(18072,18092) = 81739656