What is the Least Common Multiple of 57872 and 57880?

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 57872 and 57880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57872 and 57880, than apply into the LCM equation.

GCF(57872,57880) = 8
LCM(57872,57880) = ( 57872 × 57880) / 8
LCM(57872,57880) = 3349631360 / 8
LCM(57872,57880) = 418703920

Least Common Multiple (LCM) of 57872 and 57880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57872 and 57880. First we will calculate the prime factors of 57872 and 57880.

Prime Factorization of 57872

Prime Factorization of 57880

Now multiplying the highest exponent prime factors to calculate the LCM of 57872 and 57880.

LCM(57872,57880) = 2⁴ × 3617¹ × 5¹ × 1447¹
LCM(57872,57880) = 418703920