What is the Least Common Multiple of 12670 and 12677?

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 12670 and 12677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12670 and 12677, than apply into the LCM equation.

GCF(12670,12677) = 7
LCM(12670,12677) = ( 12670 × 12677) / 7
LCM(12670,12677) = 160617590 / 7
LCM(12670,12677) = 22945370

Least Common Multiple (LCM) of 12670 and 12677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12670 and 12677. First we will calculate the prime factors of 12670 and 12677.

Prime Factorization of 12670

Prime Factorization of 12677

Now multiplying the highest exponent prime factors to calculate the LCM of 12670 and 12677.

LCM(12670,12677) = 2¹ × 5¹ × 7¹ × 181¹ × 1811¹
LCM(12670,12677) = 22945370