What is the Least Common Multiple of 96069 and 96077?

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 96069 and 96077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96069 and 96077, than apply into the LCM equation.

GCF(96069,96077) = 1
LCM(96069,96077) = ( 96069 × 96077) / 1
LCM(96069,96077) = 9230021313 / 1
LCM(96069,96077) = 9230021313

Least Common Multiple (LCM) of 96069 and 96077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96069 and 96077. First we will calculate the prime factors of 96069 and 96077.

Prime Factorization of 96069

Prime Factorization of 96077

Now multiplying the highest exponent prime factors to calculate the LCM of 96069 and 96077.

LCM(96069,96077) = 3¹ × 31¹ × 1033¹ × 29¹ × 3313¹
LCM(96069,96077) = 9230021313