What is the Least Common Multiple of 96649 and 96664?

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 96649 and 96664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96649 and 96664, than apply into the LCM equation.

GCF(96649,96664) = 1
LCM(96649,96664) = ( 96649 × 96664) / 1
LCM(96649,96664) = 9342478936 / 1
LCM(96649,96664) = 9342478936

Least Common Multiple (LCM) of 96649 and 96664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96649 and 96664. First we will calculate the prime factors of 96649 and 96664.

Prime Factorization of 96649

Prime Factorization of 96664

Now multiplying the highest exponent prime factors to calculate the LCM of 96649 and 96664.

LCM(96649,96664) = 7¹ × 13807¹ × 2³ × 43¹ × 281¹
LCM(96649,96664) = 9342478936