What is the Least Common Multiple of 13446 and 13452?

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 13452 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 13452, than apply into the LCM equation.

GCF(13446,13452) = 6
LCM(13446,13452) = ( 13446 × 13452) / 6
LCM(13446,13452) = 180875592 / 6
LCM(13446,13452) = 30145932

Least Common Multiple (LCM) of 13446 and 13452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13446 and 13452. First we will calculate the prime factors of 13446 and 13452.

Prime Factorization of 13446

Prime Factorization of 13452

Now multiplying the highest exponent prime factors to calculate the LCM of 13446 and 13452.

LCM(13446,13452) = 2² × 3⁴ × 83¹ × 19¹ × 59¹
LCM(13446,13452) = 30145932