What is the Least Common Multiple of 76096 and 76116?

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 76116 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 76116, than apply into the LCM equation.

GCF(76096,76116) = 4
LCM(76096,76116) = ( 76096 × 76116) / 4
LCM(76096,76116) = 5792123136 / 4
LCM(76096,76116) = 1448030784

Least Common Multiple (LCM) of 76096 and 76116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76096 and 76116. First we will calculate the prime factors of 76096 and 76116.

Prime Factorization of 76096

Prime Factorization of 76116

Now multiplying the highest exponent prime factors to calculate the LCM of 76096 and 76116.

LCM(76096,76116) = 2⁶ × 29¹ × 41¹ × 3¹ × 6343¹
LCM(76096,76116) = 1448030784