What is the Least Common Multiple of 32910 and 32919?

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 32910 and 32919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32910 and 32919, than apply into the LCM equation.

GCF(32910,32919) = 3
LCM(32910,32919) = ( 32910 × 32919) / 3
LCM(32910,32919) = 1083364290 / 3
LCM(32910,32919) = 361121430

Least Common Multiple (LCM) of 32910 and 32919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32910 and 32919. First we will calculate the prime factors of 32910 and 32919.

Prime Factorization of 32910

Prime Factorization of 32919

Now multiplying the highest exponent prime factors to calculate the LCM of 32910 and 32919.

LCM(32910,32919) = 2¹ × 3¹ × 5¹ × 1097¹ × 10973¹
LCM(32910,32919) = 361121430