What is the Least Common Multiple of 55128 and 55146?

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 55128 and 55146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55128 and 55146, than apply into the LCM equation.

GCF(55128,55146) = 6
LCM(55128,55146) = ( 55128 × 55146) / 6
LCM(55128,55146) = 3040088688 / 6
LCM(55128,55146) = 506681448

Least Common Multiple (LCM) of 55128 and 55146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55128 and 55146. First we will calculate the prime factors of 55128 and 55146.

Prime Factorization of 55128

Prime Factorization of 55146

Now multiplying the highest exponent prime factors to calculate the LCM of 55128 and 55146.

LCM(55128,55146) = 2³ × 3¹ × 2297¹ × 7¹ × 13¹ × 101¹
LCM(55128,55146) = 506681448