What is the Least Common Multiple of 1494 and 1500?

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 1494 and 1500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1494 and 1500, than apply into the LCM equation.

GCF(1494,1500) = 6
LCM(1494,1500) = ( 1494 × 1500) / 6
LCM(1494,1500) = 2241000 / 6
LCM(1494,1500) = 373500

Least Common Multiple (LCM) of 1494 and 1500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1494 and 1500. First we will calculate the prime factors of 1494 and 1500.

Prime Factorization of 1494

Prime Factorization of 1500

Now multiplying the highest exponent prime factors to calculate the LCM of 1494 and 1500.

LCM(1494,1500) = 2² × 3² × 83¹ × 5³
LCM(1494,1500) = 373500