What is the Least Common Multiple of 66270 and 66288?

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 66288 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 66288, than apply into the LCM equation.

GCF(66270,66288) = 6
LCM(66270,66288) = ( 66270 × 66288) / 6
LCM(66270,66288) = 4392905760 / 6
LCM(66270,66288) = 732150960

Least Common Multiple (LCM) of 66270 and 66288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66270 and 66288. First we will calculate the prime factors of 66270 and 66288.

Prime Factorization of 66270

Prime Factorization of 66288

Now multiplying the highest exponent prime factors to calculate the LCM of 66270 and 66288.

LCM(66270,66288) = 2⁴ × 3¹ × 5¹ × 47² × 1381¹
LCM(66270,66288) = 732150960