What is the Least Common Multiple of 55350 and 55359?

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 55350 and 55359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55350 and 55359, than apply into the LCM equation.

GCF(55350,55359) = 9
LCM(55350,55359) = ( 55350 × 55359) / 9
LCM(55350,55359) = 3064120650 / 9
LCM(55350,55359) = 340457850

Least Common Multiple (LCM) of 55350 and 55359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55350 and 55359. First we will calculate the prime factors of 55350 and 55359.

Prime Factorization of 55350

Prime Factorization of 55359

Now multiplying the highest exponent prime factors to calculate the LCM of 55350 and 55359.

LCM(55350,55359) = 2¹ × 3³ × 5² × 41¹ × 6151¹
LCM(55350,55359) = 340457850