What is the Least Common Multiple of 55350 and 55360?

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 55360 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 55360, than apply into the LCM equation.

GCF(55350,55360) = 10
LCM(55350,55360) = ( 55350 × 55360) / 10
LCM(55350,55360) = 3064176000 / 10
LCM(55350,55360) = 306417600

Least Common Multiple (LCM) of 55350 and 55360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55350 and 55360. First we will calculate the prime factors of 55350 and 55360.

Prime Factorization of 55350

Prime Factorization of 55360

Now multiplying the highest exponent prime factors to calculate the LCM of 55350 and 55360.

LCM(55350,55360) = 2⁶ × 3³ × 5² × 41¹ × 173¹
LCM(55350,55360) = 306417600