What is the Least Common Multiple of 76096 and 76100?

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 76096 and 76100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76096 and 76100, than apply into the LCM equation.

GCF(76096,76100) = 4
LCM(76096,76100) = ( 76096 × 76100) / 4
LCM(76096,76100) = 5790905600 / 4
LCM(76096,76100) = 1447726400

Least Common Multiple (LCM) of 76096 and 76100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76096 and 76100. First we will calculate the prime factors of 76096 and 76100.

Prime Factorization of 76096

Prime Factorization of 76100

Now multiplying the highest exponent prime factors to calculate the LCM of 76096 and 76100.

LCM(76096,76100) = 2⁶ × 29¹ × 41¹ × 5² × 761¹
LCM(76096,76100) = 1447726400