What is the Least Common Multiple of 76274 and 76288?

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 76274 and 76288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76274 and 76288, than apply into the LCM equation.

GCF(76274,76288) = 2
LCM(76274,76288) = ( 76274 × 76288) / 2
LCM(76274,76288) = 5818790912 / 2
LCM(76274,76288) = 2909395456

Least Common Multiple (LCM) of 76274 and 76288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76274 and 76288. First we will calculate the prime factors of 76274 and 76288.

Prime Factorization of 76274

Prime Factorization of 76288

Now multiplying the highest exponent prime factors to calculate the LCM of 76274 and 76288.

LCM(76274,76288) = 2⁹ × 11¹ × 3467¹ × 149¹
LCM(76274,76288) = 2909395456