What is the Least Common Multiple of 96628 and 96632?

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 96632 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 96632, than apply into the LCM equation.

GCF(96628,96632) = 4
LCM(96628,96632) = ( 96628 × 96632) / 4
LCM(96628,96632) = 9337356896 / 4
LCM(96628,96632) = 2334339224

Least Common Multiple (LCM) of 96628 and 96632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96628 and 96632. First we will calculate the prime factors of 96628 and 96632.

Prime Factorization of 96628

Prime Factorization of 96632

Now multiplying the highest exponent prime factors to calculate the LCM of 96628 and 96632.

LCM(96628,96632) = 2³ × 7² × 17¹ × 29¹ × 47¹ × 257¹
LCM(96628,96632) = 2334339224