What is the Least Common Multiple of 55050 and 55056?

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 55050 and 55056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55050 and 55056, than apply into the LCM equation.

GCF(55050,55056) = 6
LCM(55050,55056) = ( 55050 × 55056) / 6
LCM(55050,55056) = 3030832800 / 6
LCM(55050,55056) = 505138800

Least Common Multiple (LCM) of 55050 and 55056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55050 and 55056. First we will calculate the prime factors of 55050 and 55056.

Prime Factorization of 55050

Prime Factorization of 55056

Now multiplying the highest exponent prime factors to calculate the LCM of 55050 and 55056.

LCM(55050,55056) = 2⁴ × 3¹ × 5² × 367¹ × 31¹ × 37¹
LCM(55050,55056) = 505138800