What is the Least Common Multiple of 57376 and 57386?

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 57376 and 57386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57376 and 57386, than apply into the LCM equation.

GCF(57376,57386) = 2
LCM(57376,57386) = ( 57376 × 57386) / 2
LCM(57376,57386) = 3292579136 / 2
LCM(57376,57386) = 1646289568

Least Common Multiple (LCM) of 57376 and 57386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57376 and 57386. First we will calculate the prime factors of 57376 and 57386.

Prime Factorization of 57376

Prime Factorization of 57386

Now multiplying the highest exponent prime factors to calculate the LCM of 57376 and 57386.

LCM(57376,57386) = 2⁵ × 11¹ × 163¹ × 7¹ × 4099¹
LCM(57376,57386) = 1646289568