What is the Least Common Multiple of 32474 and 32490?

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 32474 and 32490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32474 and 32490, than apply into the LCM equation.

GCF(32474,32490) = 2
LCM(32474,32490) = ( 32474 × 32490) / 2
LCM(32474,32490) = 1055080260 / 2
LCM(32474,32490) = 527540130

Least Common Multiple (LCM) of 32474 and 32490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32474 and 32490. First we will calculate the prime factors of 32474 and 32490.

Prime Factorization of 32474

Prime Factorization of 32490

Now multiplying the highest exponent prime factors to calculate the LCM of 32474 and 32490.

LCM(32474,32490) = 2¹ × 13¹ × 1249¹ × 3² × 5¹ × 19²
LCM(32474,32490) = 527540130