What is the Least Common Multiple of 22628 and 22646?

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 22628 and 22646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22628 and 22646, than apply into the LCM equation.

GCF(22628,22646) = 2
LCM(22628,22646) = ( 22628 × 22646) / 2
LCM(22628,22646) = 512433688 / 2
LCM(22628,22646) = 256216844

Least Common Multiple (LCM) of 22628 and 22646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22628 and 22646. First we will calculate the prime factors of 22628 and 22646.

Prime Factorization of 22628

Prime Factorization of 22646

Now multiplying the highest exponent prime factors to calculate the LCM of 22628 and 22646.

LCM(22628,22646) = 2² × 5657¹ × 13² × 67¹
LCM(22628,22646) = 256216844