What is the Least Common Multiple of 13446 and 13453?

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 13446 and 13453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13446 and 13453, than apply into the LCM equation.

GCF(13446,13453) = 1
LCM(13446,13453) = ( 13446 × 13453) / 1
LCM(13446,13453) = 180889038 / 1
LCM(13446,13453) = 180889038

Least Common Multiple (LCM) of 13446 and 13453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13446 and 13453. First we will calculate the prime factors of 13446 and 13453.

Prime Factorization of 13446

Prime Factorization of 13453

Now multiplying the highest exponent prime factors to calculate the LCM of 13446 and 13453.

LCM(13446,13453) = 2¹ × 3⁴ × 83¹ × 11¹ × 1223¹
LCM(13446,13453) = 180889038