What is the Least Common Multiple of 57888 and 57900?

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 57888 and 57900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57888 and 57900, than apply into the LCM equation.

GCF(57888,57900) = 12
LCM(57888,57900) = ( 57888 × 57900) / 12
LCM(57888,57900) = 3351715200 / 12
LCM(57888,57900) = 279309600

Least Common Multiple (LCM) of 57888 and 57900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57888 and 57900. First we will calculate the prime factors of 57888 and 57900.

Prime Factorization of 57888

Prime Factorization of 57900

Now multiplying the highest exponent prime factors to calculate the LCM of 57888 and 57900.

LCM(57888,57900) = 2⁵ × 3³ × 67¹ × 5² × 193¹
LCM(57888,57900) = 279309600