What is the Least Common Multiple of 85270 and 85280?

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 85270 and 85280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85270 and 85280, than apply into the LCM equation.

GCF(85270,85280) = 10
LCM(85270,85280) = ( 85270 × 85280) / 10
LCM(85270,85280) = 7271825600 / 10
LCM(85270,85280) = 727182560

Least Common Multiple (LCM) of 85270 and 85280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85270 and 85280. First we will calculate the prime factors of 85270 and 85280.

Prime Factorization of 85270

Prime Factorization of 85280

Now multiplying the highest exponent prime factors to calculate the LCM of 85270 and 85280.

LCM(85270,85280) = 2⁵ × 5¹ × 8527¹ × 13¹ × 41¹
LCM(85270,85280) = 727182560