What is the Least Common Multiple of 9628 and 9634?

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 9634 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 9634, than apply into the LCM equation.

GCF(9628,9634) = 2
LCM(9628,9634) = ( 9628 × 9634) / 2
LCM(9628,9634) = 92756152 / 2
LCM(9628,9634) = 46378076

Least Common Multiple (LCM) of 9628 and 9634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9628 and 9634. First we will calculate the prime factors of 9628 and 9634.

Prime Factorization of 9628

Prime Factorization of 9634

Now multiplying the highest exponent prime factors to calculate the LCM of 9628 and 9634.

LCM(9628,9634) = 2² × 29¹ × 83¹ × 4817¹
LCM(9628,9634) = 46378076