What is the Least Common Multiple of 57386 and 57393?

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 57386 and 57393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57386 and 57393, than apply into the LCM equation.

GCF(57386,57393) = 7
LCM(57386,57393) = ( 57386 × 57393) / 7
LCM(57386,57393) = 3293554698 / 7
LCM(57386,57393) = 470507814

Least Common Multiple (LCM) of 57386 and 57393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57386 and 57393. First we will calculate the prime factors of 57386 and 57393.

Prime Factorization of 57386

Prime Factorization of 57393

Now multiplying the highest exponent prime factors to calculate the LCM of 57386 and 57393.

LCM(57386,57393) = 2¹ × 7¹ × 4099¹ × 3² × 911¹
LCM(57386,57393) = 470507814