What is the Least Common Multiple of 80985 and 80996?

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 80996 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 80996, than apply into the LCM equation.

GCF(80985,80996) = 1
LCM(80985,80996) = ( 80985 × 80996) / 1
LCM(80985,80996) = 6559461060 / 1
LCM(80985,80996) = 6559461060

Least Common Multiple (LCM) of 80985 and 80996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80985 and 80996. First we will calculate the prime factors of 80985 and 80996.

Prime Factorization of 80985

Prime Factorization of 80996

Now multiplying the highest exponent prime factors to calculate the LCM of 80985 and 80996.

LCM(80985,80996) = 3¹ × 5¹ × 5399¹ × 2² × 20249¹
LCM(80985,80996) = 6559461060