What is the Least Common Multiple of 32490 and 32502?

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 32490 and 32502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32490 and 32502, than apply into the LCM equation.

GCF(32490,32502) = 6
LCM(32490,32502) = ( 32490 × 32502) / 6
LCM(32490,32502) = 1055989980 / 6
LCM(32490,32502) = 175998330

Least Common Multiple (LCM) of 32490 and 32502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32490 and 32502. First we will calculate the prime factors of 32490 and 32502.

Prime Factorization of 32490

Prime Factorization of 32502

Now multiplying the highest exponent prime factors to calculate the LCM of 32490 and 32502.

LCM(32490,32502) = 2¹ × 3² × 5¹ × 19² × 5417¹
LCM(32490,32502) = 175998330