What is the Least Common Multiple of 9628 and 9646?

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 9628 and 9646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9628 and 9646, than apply into the LCM equation.

GCF(9628,9646) = 2
LCM(9628,9646) = ( 9628 × 9646) / 2
LCM(9628,9646) = 92871688 / 2
LCM(9628,9646) = 46435844

Least Common Multiple (LCM) of 9628 and 9646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9628 and 9646. First we will calculate the prime factors of 9628 and 9646.

Prime Factorization of 9628

Prime Factorization of 9646

Now multiplying the highest exponent prime factors to calculate the LCM of 9628 and 9646.

LCM(9628,9646) = 2² × 29¹ × 83¹ × 7¹ × 13¹ × 53¹
LCM(9628,9646) = 46435844