What is the Least Common Multiple of 71457 and 71474?

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 71457 and 71474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71457 and 71474, than apply into the LCM equation.

GCF(71457,71474) = 1
LCM(71457,71474) = ( 71457 × 71474) / 1
LCM(71457,71474) = 5107317618 / 1
LCM(71457,71474) = 5107317618

Least Common Multiple (LCM) of 71457 and 71474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71457 and 71474. First we will calculate the prime factors of 71457 and 71474.

Prime Factorization of 71457

Prime Factorization of 71474

Now multiplying the highest exponent prime factors to calculate the LCM of 71457 and 71474.

LCM(71457,71474) = 3¹ × 23819¹ × 2¹ × 13¹ × 2749¹
LCM(71457,71474) = 5107317618