What is the Least Common Multiple of 80910 and 80925?

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 80910 and 80925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80910 and 80925, than apply into the LCM equation.

GCF(80910,80925) = 15
LCM(80910,80925) = ( 80910 × 80925) / 15
LCM(80910,80925) = 6547641750 / 15
LCM(80910,80925) = 436509450

Least Common Multiple (LCM) of 80910 and 80925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80910 and 80925. First we will calculate the prime factors of 80910 and 80925.

Prime Factorization of 80910

Prime Factorization of 80925

Now multiplying the highest exponent prime factors to calculate the LCM of 80910 and 80925.

LCM(80910,80925) = 2¹ × 3² × 5² × 29¹ × 31¹ × 13¹ × 83¹
LCM(80910,80925) = 436509450