What is the Least Common Multiple of 18972 and 18982?

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 18972 and 18982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18972 and 18982, than apply into the LCM equation.

GCF(18972,18982) = 2
LCM(18972,18982) = ( 18972 × 18982) / 2
LCM(18972,18982) = 360126504 / 2
LCM(18972,18982) = 180063252

Least Common Multiple (LCM) of 18972 and 18982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18972 and 18982. First we will calculate the prime factors of 18972 and 18982.

Prime Factorization of 18972

Prime Factorization of 18982

Now multiplying the highest exponent prime factors to calculate the LCM of 18972 and 18982.

LCM(18972,18982) = 2² × 3² × 17¹ × 31¹ × 9491¹
LCM(18972,18982) = 180063252