What is the Least Common Multiple of 13374 and 13394?

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 13394 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 13394, than apply into the LCM equation.

GCF(13374,13394) = 2
LCM(13374,13394) = ( 13374 × 13394) / 2
LCM(13374,13394) = 179131356 / 2
LCM(13374,13394) = 89565678

Least Common Multiple (LCM) of 13374 and 13394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13374 and 13394. First we will calculate the prime factors of 13374 and 13394.

Prime Factorization of 13374

Prime Factorization of 13394

Now multiplying the highest exponent prime factors to calculate the LCM of 13374 and 13394.

LCM(13374,13394) = 2¹ × 3² × 743¹ × 37¹ × 181¹
LCM(13374,13394) = 89565678