What is the Least Common Multiple of 6256 and 6271?

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 6256 and 6271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6256 and 6271, than apply into the LCM equation.

GCF(6256,6271) = 1
LCM(6256,6271) = ( 6256 × 6271) / 1
LCM(6256,6271) = 39231376 / 1
LCM(6256,6271) = 39231376

Least Common Multiple (LCM) of 6256 and 6271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6256 and 6271. First we will calculate the prime factors of 6256 and 6271.

Prime Factorization of 6256

Prime Factorization of 6271

Now multiplying the highest exponent prime factors to calculate the LCM of 6256 and 6271.

LCM(6256,6271) = 2⁴ × 17¹ × 23¹ × 6271¹
LCM(6256,6271) = 39231376