What is the Least Common Multiple of 13374 and 13392?

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 13374 and 13392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13374 and 13392, than apply into the LCM equation.

GCF(13374,13392) = 18
LCM(13374,13392) = ( 13374 × 13392) / 18
LCM(13374,13392) = 179104608 / 18
LCM(13374,13392) = 9950256

Least Common Multiple (LCM) of 13374 and 13392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13374 and 13392. First we will calculate the prime factors of 13374 and 13392.

Prime Factorization of 13374

Prime Factorization of 13392

Now multiplying the highest exponent prime factors to calculate the LCM of 13374 and 13392.

LCM(13374,13392) = 2⁴ × 3³ × 743¹ × 31¹
LCM(13374,13392) = 9950256