What is the Least Common Multiple of 76288 and 76302?

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 76288 and 76302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76288 and 76302, than apply into the LCM equation.

GCF(76288,76302) = 2
LCM(76288,76302) = ( 76288 × 76302) / 2
LCM(76288,76302) = 5820926976 / 2
LCM(76288,76302) = 2910463488

Least Common Multiple (LCM) of 76288 and 76302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76288 and 76302. First we will calculate the prime factors of 76288 and 76302.

Prime Factorization of 76288

Prime Factorization of 76302

Now multiplying the highest exponent prime factors to calculate the LCM of 76288 and 76302.

LCM(76288,76302) = 2⁹ × 149¹ × 3⁵ × 157¹
LCM(76288,76302) = 2910463488