What is the Least Common Multiple of 12628 and 12635?

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 12628 and 12635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12628 and 12635, than apply into the LCM equation.

GCF(12628,12635) = 7
LCM(12628,12635) = ( 12628 × 12635) / 7
LCM(12628,12635) = 159554780 / 7
LCM(12628,12635) = 22793540

Least Common Multiple (LCM) of 12628 and 12635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12628 and 12635. First we will calculate the prime factors of 12628 and 12635.

Prime Factorization of 12628

Prime Factorization of 12635

Now multiplying the highest exponent prime factors to calculate the LCM of 12628 and 12635.

LCM(12628,12635) = 2² × 7¹ × 11¹ × 41¹ × 5¹ × 19²
LCM(12628,12635) = 22793540