What is the Least Common Multiple of 56875 and 56880?

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 56875 and 56880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56875 and 56880, than apply into the LCM equation.

GCF(56875,56880) = 5
LCM(56875,56880) = ( 56875 × 56880) / 5
LCM(56875,56880) = 3235050000 / 5
LCM(56875,56880) = 647010000

Least Common Multiple (LCM) of 56875 and 56880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56875 and 56880. First we will calculate the prime factors of 56875 and 56880.

Prime Factorization of 56875

Prime Factorization of 56880

Now multiplying the highest exponent prime factors to calculate the LCM of 56875 and 56880.

LCM(56875,56880) = 5⁴ × 7¹ × 13¹ × 2⁴ × 3² × 79¹
LCM(56875,56880) = 647010000