What is the Least Common Multiple of 55856 and 55875?

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 55856 and 55875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55856 and 55875, than apply into the LCM equation.

GCF(55856,55875) = 1
LCM(55856,55875) = ( 55856 × 55875) / 1
LCM(55856,55875) = 3120954000 / 1
LCM(55856,55875) = 3120954000

Least Common Multiple (LCM) of 55856 and 55875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55856 and 55875. First we will calculate the prime factors of 55856 and 55875.

Prime Factorization of 55856

Prime Factorization of 55875

Now multiplying the highest exponent prime factors to calculate the LCM of 55856 and 55875.

LCM(55856,55875) = 2⁴ × 3491¹ × 3¹ × 5³ × 149¹
LCM(55856,55875) = 3120954000