What is the Least Common Multiple of 13450 and 13455?

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 13450 and 13455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13450 and 13455, than apply into the LCM equation.

GCF(13450,13455) = 5
LCM(13450,13455) = ( 13450 × 13455) / 5
LCM(13450,13455) = 180969750 / 5
LCM(13450,13455) = 36193950

Least Common Multiple (LCM) of 13450 and 13455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13450 and 13455. First we will calculate the prime factors of 13450 and 13455.

Prime Factorization of 13450

Prime Factorization of 13455

Now multiplying the highest exponent prime factors to calculate the LCM of 13450 and 13455.

LCM(13450,13455) = 2¹ × 5² × 269¹ × 3² × 13¹ × 23¹
LCM(13450,13455) = 36193950