What is the Least Common Multiple of 92064 and 92069?

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 92064 and 92069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92064 and 92069, than apply into the LCM equation.

GCF(92064,92069) = 1
LCM(92064,92069) = ( 92064 × 92069) / 1
LCM(92064,92069) = 8476240416 / 1
LCM(92064,92069) = 8476240416

Least Common Multiple (LCM) of 92064 and 92069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92064 and 92069. First we will calculate the prime factors of 92064 and 92069.

Prime Factorization of 92064

Prime Factorization of 92069

Now multiplying the highest exponent prime factors to calculate the LCM of 92064 and 92069.

LCM(92064,92069) = 2⁵ × 3¹ × 7¹ × 137¹ × 23¹ × 4003¹
LCM(92064,92069) = 8476240416