What is the Least Common Multiple of 19494 and 19502?

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 19494 and 19502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19494 and 19502, than apply into the LCM equation.

GCF(19494,19502) = 2
LCM(19494,19502) = ( 19494 × 19502) / 2
LCM(19494,19502) = 380171988 / 2
LCM(19494,19502) = 190085994

Least Common Multiple (LCM) of 19494 and 19502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19494 and 19502. First we will calculate the prime factors of 19494 and 19502.

Prime Factorization of 19494

Prime Factorization of 19502

Now multiplying the highest exponent prime factors to calculate the LCM of 19494 and 19502.

LCM(19494,19502) = 2¹ × 3³ × 19² × 7² × 199¹
LCM(19494,19502) = 190085994