What is the Least Common Multiple of 57288 and 57308?

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 57288 and 57308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57288 and 57308, than apply into the LCM equation.

GCF(57288,57308) = 4
LCM(57288,57308) = ( 57288 × 57308) / 4
LCM(57288,57308) = 3283060704 / 4
LCM(57288,57308) = 820765176

Least Common Multiple (LCM) of 57288 and 57308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57288 and 57308. First we will calculate the prime factors of 57288 and 57308.

Prime Factorization of 57288

Prime Factorization of 57308

Now multiplying the highest exponent prime factors to calculate the LCM of 57288 and 57308.

LCM(57288,57308) = 2³ × 3¹ × 7¹ × 11¹ × 31¹ × 14327¹
LCM(57288,57308) = 820765176