What is the Least Common Multiple of 76259 and 76271?

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 76259 and 76271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76259 and 76271, than apply into the LCM equation.

GCF(76259,76271) = 1
LCM(76259,76271) = ( 76259 × 76271) / 1
LCM(76259,76271) = 5816350189 / 1
LCM(76259,76271) = 5816350189

Least Common Multiple (LCM) of 76259 and 76271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76259 and 76271. First we will calculate the prime factors of 76259 and 76271.

Prime Factorization of 76259

Prime Factorization of 76271

Now multiplying the highest exponent prime factors to calculate the LCM of 76259 and 76271.

LCM(76259,76271) = 76259¹ × 13¹ × 5867¹
LCM(76259,76271) = 5816350189