What is the Least Common Multiple of 76096 and 76102?

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 76102 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 76102, than apply into the LCM equation.

GCF(76096,76102) = 2
LCM(76096,76102) = ( 76096 × 76102) / 2
LCM(76096,76102) = 5791057792 / 2
LCM(76096,76102) = 2895528896

Least Common Multiple (LCM) of 76096 and 76102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76096 and 76102. First we will calculate the prime factors of 76096 and 76102.

Prime Factorization of 76096

Prime Factorization of 76102

Now multiplying the highest exponent prime factors to calculate the LCM of 76096 and 76102.

LCM(76096,76102) = 2⁶ × 29¹ × 41¹ × 13¹ × 2927¹
LCM(76096,76102) = 2895528896