What is the Least Common Multiple of 57870 and 57888?

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 57870 and 57888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57870 and 57888, than apply into the LCM equation.

GCF(57870,57888) = 18
LCM(57870,57888) = ( 57870 × 57888) / 18
LCM(57870,57888) = 3349978560 / 18
LCM(57870,57888) = 186109920

Least Common Multiple (LCM) of 57870 and 57888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57870 and 57888. First we will calculate the prime factors of 57870 and 57888.

Prime Factorization of 57870

Prime Factorization of 57888

Now multiplying the highest exponent prime factors to calculate the LCM of 57870 and 57888.

LCM(57870,57888) = 2⁵ × 3³ × 5¹ × 643¹ × 67¹
LCM(57870,57888) = 186109920