What is the Least Common Multiple of 96628 and 96640?

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 96628 and 96640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96628 and 96640, than apply into the LCM equation.

GCF(96628,96640) = 4
LCM(96628,96640) = ( 96628 × 96640) / 4
LCM(96628,96640) = 9338129920 / 4
LCM(96628,96640) = 2334532480

Least Common Multiple (LCM) of 96628 and 96640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96628 and 96640. First we will calculate the prime factors of 96628 and 96640.

Prime Factorization of 96628

Prime Factorization of 96640

Now multiplying the highest exponent prime factors to calculate the LCM of 96628 and 96640.

LCM(96628,96640) = 2⁷ × 7² × 17¹ × 29¹ × 5¹ × 151¹
LCM(96628,96640) = 2334532480