What is the Least Common Multiple of 80970 and 80985?

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 80970 and 80985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80970 and 80985, than apply into the LCM equation.

GCF(80970,80985) = 15
LCM(80970,80985) = ( 80970 × 80985) / 15
LCM(80970,80985) = 6557355450 / 15
LCM(80970,80985) = 437157030

Least Common Multiple (LCM) of 80970 and 80985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80970 and 80985. First we will calculate the prime factors of 80970 and 80985.

Prime Factorization of 80970

Prime Factorization of 80985

Now multiplying the highest exponent prime factors to calculate the LCM of 80970 and 80985.

LCM(80970,80985) = 2¹ × 3¹ × 5¹ × 2699¹ × 5399¹
LCM(80970,80985) = 437157030