What is the Least Common Multiple of 55328 and 55346?

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 55328 and 55346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55328 and 55346, than apply into the LCM equation.

GCF(55328,55346) = 2
LCM(55328,55346) = ( 55328 × 55346) / 2
LCM(55328,55346) = 3062183488 / 2
LCM(55328,55346) = 1531091744

Least Common Multiple (LCM) of 55328 and 55346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55328 and 55346. First we will calculate the prime factors of 55328 and 55346.

Prime Factorization of 55328

Prime Factorization of 55346

Now multiplying the highest exponent prime factors to calculate the LCM of 55328 and 55346.

LCM(55328,55346) = 2⁵ × 7¹ × 13¹ × 19¹ × 27673¹
LCM(55328,55346) = 1531091744