What is the Least Common Multiple of 17973 and 17988?

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 17973 and 17988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17973 and 17988, than apply into the LCM equation.

GCF(17973,17988) = 3
LCM(17973,17988) = ( 17973 × 17988) / 3
LCM(17973,17988) = 323298324 / 3
LCM(17973,17988) = 107766108

Least Common Multiple (LCM) of 17973 and 17988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17973 and 17988. First we will calculate the prime factors of 17973 and 17988.

Prime Factorization of 17973

Prime Factorization of 17988

Now multiplying the highest exponent prime factors to calculate the LCM of 17973 and 17988.

LCM(17973,17988) = 3² × 1997¹ × 2² × 1499¹
LCM(17973,17988) = 107766108