What is the Least Common Multiple of 32490 and 32499?

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 32499 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 32499, than apply into the LCM equation.

GCF(32490,32499) = 9
LCM(32490,32499) = ( 32490 × 32499) / 9
LCM(32490,32499) = 1055892510 / 9
LCM(32490,32499) = 117321390

Least Common Multiple (LCM) of 32490 and 32499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32490 and 32499. First we will calculate the prime factors of 32490 and 32499.

Prime Factorization of 32490

Prime Factorization of 32499

Now multiplying the highest exponent prime factors to calculate the LCM of 32490 and 32499.

LCM(32490,32499) = 2¹ × 3² × 5¹ × 19² × 23¹ × 157¹
LCM(32490,32499) = 117321390