What is the Least Common Multiple of 57356 and 57376?

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 57356 and 57376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57356 and 57376, than apply into the LCM equation.

GCF(57356,57376) = 4
LCM(57356,57376) = ( 57356 × 57376) / 4
LCM(57356,57376) = 3290857856 / 4
LCM(57356,57376) = 822714464

Least Common Multiple (LCM) of 57356 and 57376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57356 and 57376. First we will calculate the prime factors of 57356 and 57376.

Prime Factorization of 57356

Prime Factorization of 57376

Now multiplying the highest exponent prime factors to calculate the LCM of 57356 and 57376.

LCM(57356,57376) = 2⁵ × 13¹ × 1103¹ × 11¹ × 163¹
LCM(57356,57376) = 822714464