What is the Least Common Multiple of 57384 and 57403?

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 57384 and 57403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57384 and 57403, than apply into the LCM equation.

GCF(57384,57403) = 1
LCM(57384,57403) = ( 57384 × 57403) / 1
LCM(57384,57403) = 3294013752 / 1
LCM(57384,57403) = 3294013752

Least Common Multiple (LCM) of 57384 and 57403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57384 and 57403. First we will calculate the prime factors of 57384 and 57403.

Prime Factorization of 57384

Prime Factorization of 57403

Now multiplying the highest exponent prime factors to calculate the LCM of 57384 and 57403.

LCM(57384,57403) = 2³ × 3² × 797¹ × 137¹ × 419¹
LCM(57384,57403) = 3294013752