What is the Least Common Multiple of 55056 and 55074?

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 55056 and 55074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55056 and 55074, than apply into the LCM equation.

GCF(55056,55074) = 6
LCM(55056,55074) = ( 55056 × 55074) / 6
LCM(55056,55074) = 3032154144 / 6
LCM(55056,55074) = 505359024

Least Common Multiple (LCM) of 55056 and 55074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55056 and 55074. First we will calculate the prime factors of 55056 and 55074.

Prime Factorization of 55056

Prime Factorization of 55074

Now multiplying the highest exponent prime factors to calculate the LCM of 55056 and 55074.

LCM(55056,55074) = 2⁴ × 3¹ × 31¹ × 37¹ × 67¹ × 137¹
LCM(55056,55074) = 505359024