What is the Least Common Multiple of 13434 and 13446?

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 13434 and 13446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13434 and 13446, than apply into the LCM equation.

GCF(13434,13446) = 6
LCM(13434,13446) = ( 13434 × 13446) / 6
LCM(13434,13446) = 180633564 / 6
LCM(13434,13446) = 30105594

Least Common Multiple (LCM) of 13434 and 13446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13434 and 13446. First we will calculate the prime factors of 13434 and 13446.

Prime Factorization of 13434

Prime Factorization of 13446

Now multiplying the highest exponent prime factors to calculate the LCM of 13434 and 13446.

LCM(13434,13446) = 2¹ × 3⁴ × 2239¹ × 83¹
LCM(13434,13446) = 30105594