What is the Least Common Multiple of 12660 and 12670?

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 12660 and 12670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12660 and 12670, than apply into the LCM equation.

GCF(12660,12670) = 10
LCM(12660,12670) = ( 12660 × 12670) / 10
LCM(12660,12670) = 160402200 / 10
LCM(12660,12670) = 16040220

Least Common Multiple (LCM) of 12660 and 12670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12660 and 12670. First we will calculate the prime factors of 12660 and 12670.

Prime Factorization of 12660

Prime Factorization of 12670

Now multiplying the highest exponent prime factors to calculate the LCM of 12660 and 12670.

LCM(12660,12670) = 2² × 3¹ × 5¹ × 211¹ × 7¹ × 181¹
LCM(12660,12670) = 16040220