What is the Least Common Multiple of 80985 and 80994?

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 80985 and 80994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80985 and 80994, than apply into the LCM equation.

GCF(80985,80994) = 3
LCM(80985,80994) = ( 80985 × 80994) / 3
LCM(80985,80994) = 6559299090 / 3
LCM(80985,80994) = 2186433030

Least Common Multiple (LCM) of 80985 and 80994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80985 and 80994. First we will calculate the prime factors of 80985 and 80994.

Prime Factorization of 80985

Prime Factorization of 80994

Now multiplying the highest exponent prime factors to calculate the LCM of 80985 and 80994.

LCM(80985,80994) = 3¹ × 5¹ × 5399¹ × 2¹ × 13499¹
LCM(80985,80994) = 2186433030