What is the Least Common Multiple of 18975 and 18980?

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 18975 and 18980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18975 and 18980, than apply into the LCM equation.

GCF(18975,18980) = 5
LCM(18975,18980) = ( 18975 × 18980) / 5
LCM(18975,18980) = 360145500 / 5
LCM(18975,18980) = 72029100

Least Common Multiple (LCM) of 18975 and 18980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18975 and 18980. First we will calculate the prime factors of 18975 and 18980.

Prime Factorization of 18975

Prime Factorization of 18980

Now multiplying the highest exponent prime factors to calculate the LCM of 18975 and 18980.

LCM(18975,18980) = 3¹ × 5² × 11¹ × 23¹ × 2² × 13¹ × 73¹
LCM(18975,18980) = 72029100