What is the Least Common Multiple of 57468 and 57483?

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 57468 and 57483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57468 and 57483, than apply into the LCM equation.

GCF(57468,57483) = 3
LCM(57468,57483) = ( 57468 × 57483) / 3
LCM(57468,57483) = 3303433044 / 3
LCM(57468,57483) = 1101144348

Least Common Multiple (LCM) of 57468 and 57483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57468 and 57483. First we will calculate the prime factors of 57468 and 57483.

Prime Factorization of 57468

Prime Factorization of 57483

Now multiplying the highest exponent prime factors to calculate the LCM of 57468 and 57483.

LCM(57468,57483) = 2² × 3³ × 4789¹ × 2129¹
LCM(57468,57483) = 1101144348