GCF and LCM Calculator Logo

What is the Least Common Multiple of 13374 and 13385?

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 (LCM) of 13374 and 13385 is 179010990.

LCM(13374,13385) = 179010990

LCM Calculator and
and

Least Common Multiple of 13374 and 13385 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 13385, than apply into the LCM equation.

GCF(13374,13385) = 1
LCM(13374,13385) = ( 13374 × 13385) / 1
LCM(13374,13385) = 179010990 / 1
LCM(13374,13385) = 179010990

Least Common Multiple (LCM) of 13374 and 13385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13374 and 13385. First we will calculate the prime factors of 13374 and 13385.

Prime Factorization of 13374

Prime factors of 13374 are 2, 3, 743. Prime factorization of 13374 in exponential form is:

13374 = 21 × 32 × 7431

Prime Factorization of 13385

Prime factors of 13385 are 5, 2677. Prime factorization of 13385 in exponential form is:

13385 = 51 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 13374 and 13385.

LCM(13374,13385) = 21 × 32 × 7431 × 51 × 26771
LCM(13374,13385) = 179010990