What is the Least Common Multiple of 55346 and 55352?

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 55346 and 55352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55346 and 55352, than apply into the LCM equation.

GCF(55346,55352) = 2
LCM(55346,55352) = ( 55346 × 55352) / 2
LCM(55346,55352) = 3063511792 / 2
LCM(55346,55352) = 1531755896

Least Common Multiple (LCM) of 55346 and 55352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55346 and 55352. First we will calculate the prime factors of 55346 and 55352.

Prime Factorization of 55346

Prime Factorization of 55352

Now multiplying the highest exponent prime factors to calculate the LCM of 55346 and 55352.

LCM(55346,55352) = 2³ × 27673¹ × 11¹ × 17¹ × 37¹
LCM(55346,55352) = 1531755896