What is the Least Common Multiple of 66270 and 66280?

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 66270 and 66280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66270 and 66280, than apply into the LCM equation.

GCF(66270,66280) = 10
LCM(66270,66280) = ( 66270 × 66280) / 10
LCM(66270,66280) = 4392375600 / 10
LCM(66270,66280) = 439237560

Least Common Multiple (LCM) of 66270 and 66280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66270 and 66280. First we will calculate the prime factors of 66270 and 66280.

Prime Factorization of 66270

Prime Factorization of 66280

Now multiplying the highest exponent prime factors to calculate the LCM of 66270 and 66280.

LCM(66270,66280) = 2³ × 3¹ × 5¹ × 47² × 1657¹
LCM(66270,66280) = 439237560