What is the Least Common Multiple of 32490 and 32494?

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 32494 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 32494, than apply into the LCM equation.

GCF(32490,32494) = 2
LCM(32490,32494) = ( 32490 × 32494) / 2
LCM(32490,32494) = 1055730060 / 2
LCM(32490,32494) = 527865030

Least Common Multiple (LCM) of 32490 and 32494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32490 and 32494. First we will calculate the prime factors of 32490 and 32494.

Prime Factorization of 32490

Prime Factorization of 32494

Now multiplying the highest exponent prime factors to calculate the LCM of 32490 and 32494.

LCM(32490,32494) = 2¹ × 3² × 5¹ × 19² × 7¹ × 11¹ × 211¹
LCM(32490,32494) = 527865030