What is the Least Common Multiple of 96606 and 96625?

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 96606 and 96625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96606 and 96625, than apply into the LCM equation.

GCF(96606,96625) = 1
LCM(96606,96625) = ( 96606 × 96625) / 1
LCM(96606,96625) = 9334554750 / 1
LCM(96606,96625) = 9334554750

Least Common Multiple (LCM) of 96606 and 96625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96606 and 96625. First we will calculate the prime factors of 96606 and 96625.

Prime Factorization of 96606

Prime Factorization of 96625

Now multiplying the highest exponent prime factors to calculate the LCM of 96606 and 96625.

LCM(96606,96625) = 2¹ × 3³ × 1789¹ × 5³ × 773¹
LCM(96606,96625) = 9334554750