What is the Least Common Multiple of 55350 and 55356?

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 55356 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 55356, than apply into the LCM equation.

GCF(55350,55356) = 6
LCM(55350,55356) = ( 55350 × 55356) / 6
LCM(55350,55356) = 3063954600 / 6
LCM(55350,55356) = 510659100

Least Common Multiple (LCM) of 55350 and 55356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55350 and 55356. First we will calculate the prime factors of 55350 and 55356.

Prime Factorization of 55350

Prime Factorization of 55356

Now multiplying the highest exponent prime factors to calculate the LCM of 55350 and 55356.

LCM(55350,55356) = 2² × 3³ × 5² × 41¹ × 7¹ × 659¹
LCM(55350,55356) = 510659100