What is the Least Common Multiple of 57378 and 57392?

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 57378 and 57392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57378 and 57392, than apply into the LCM equation.

GCF(57378,57392) = 2
LCM(57378,57392) = ( 57378 × 57392) / 2
LCM(57378,57392) = 3293038176 / 2
LCM(57378,57392) = 1646519088

Least Common Multiple (LCM) of 57378 and 57392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57378 and 57392. First we will calculate the prime factors of 57378 and 57392.

Prime Factorization of 57378

Prime Factorization of 57392

Now multiplying the highest exponent prime factors to calculate the LCM of 57378 and 57392.

LCM(57378,57392) = 2⁴ × 3¹ × 73¹ × 131¹ × 17¹ × 211¹
LCM(57378,57392) = 1646519088