What is the Least Common Multiple of 96600 and 96610?

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 96600 and 96610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96600 and 96610, than apply into the LCM equation.

GCF(96600,96610) = 10
LCM(96600,96610) = ( 96600 × 96610) / 10
LCM(96600,96610) = 9332526000 / 10
LCM(96600,96610) = 933252600

Least Common Multiple (LCM) of 96600 and 96610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96600 and 96610. First we will calculate the prime factors of 96600 and 96610.

Prime Factorization of 96600

Prime Factorization of 96610

Now multiplying the highest exponent prime factors to calculate the LCM of 96600 and 96610.

LCM(96600,96610) = 2³ × 3¹ × 5² × 7¹ × 23¹ × 9661¹
LCM(96600,96610) = 933252600