What is the Least Common Multiple of 96064 and 96069?

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 96064 and 96069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96064 and 96069, than apply into the LCM equation.

GCF(96064,96069) = 1
LCM(96064,96069) = ( 96064 × 96069) / 1
LCM(96064,96069) = 9228772416 / 1
LCM(96064,96069) = 9228772416

Least Common Multiple (LCM) of 96064 and 96069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96064 and 96069. First we will calculate the prime factors of 96064 and 96069.

Prime Factorization of 96064

Prime Factorization of 96069

Now multiplying the highest exponent prime factors to calculate the LCM of 96064 and 96069.

LCM(96064,96069) = 2⁶ × 19¹ × 79¹ × 3¹ × 31¹ × 1033¹
LCM(96064,96069) = 9228772416