What is the Least Common Multiple of 66270 and 66285?

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 66285 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 66285, than apply into the LCM equation.

GCF(66270,66285) = 15
LCM(66270,66285) = ( 66270 × 66285) / 15
LCM(66270,66285) = 4392706950 / 15
LCM(66270,66285) = 292847130

Least Common Multiple (LCM) of 66270 and 66285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66270 and 66285. First we will calculate the prime factors of 66270 and 66285.

Prime Factorization of 66270

Prime Factorization of 66285

Now multiplying the highest exponent prime factors to calculate the LCM of 66270 and 66285.

LCM(66270,66285) = 2¹ × 3³ × 5¹ × 47² × 491¹
LCM(66270,66285) = 292847130