What is the Least Common Multiple of 10628 and 10646?

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 10628 and 10646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10628 and 10646, than apply into the LCM equation.

GCF(10628,10646) = 2
LCM(10628,10646) = ( 10628 × 10646) / 2
LCM(10628,10646) = 113145688 / 2
LCM(10628,10646) = 56572844

Least Common Multiple (LCM) of 10628 and 10646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10628 and 10646. First we will calculate the prime factors of 10628 and 10646.

Prime Factorization of 10628

Prime Factorization of 10646

Now multiplying the highest exponent prime factors to calculate the LCM of 10628 and 10646.

LCM(10628,10646) = 2² × 2657¹ × 5323¹
LCM(10628,10646) = 56572844