What is the Least Common Multiple of 96500 and 96520?

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 96500 and 96520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96500 and 96520, than apply into the LCM equation.

GCF(96500,96520) = 20
LCM(96500,96520) = ( 96500 × 96520) / 20
LCM(96500,96520) = 9314180000 / 20
LCM(96500,96520) = 465709000

Least Common Multiple (LCM) of 96500 and 96520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96500 and 96520. First we will calculate the prime factors of 96500 and 96520.

Prime Factorization of 96500

Prime Factorization of 96520

Now multiplying the highest exponent prime factors to calculate the LCM of 96500 and 96520.

LCM(96500,96520) = 2³ × 5³ × 193¹ × 19¹ × 127¹
LCM(96500,96520) = 465709000