What is the Least Common Multiple of 57368 and 57384?

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 57368 and 57384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57368 and 57384, than apply into the LCM equation.

GCF(57368,57384) = 8
LCM(57368,57384) = ( 57368 × 57384) / 8
LCM(57368,57384) = 3292005312 / 8
LCM(57368,57384) = 411500664

Least Common Multiple (LCM) of 57368 and 57384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57368 and 57384. First we will calculate the prime factors of 57368 and 57384.

Prime Factorization of 57368

Prime Factorization of 57384

Now multiplying the highest exponent prime factors to calculate the LCM of 57368 and 57384.

LCM(57368,57384) = 2³ × 71¹ × 101¹ × 3² × 797¹
LCM(57368,57384) = 411500664