What is the Least Common Multiple of 13874 and 13882?

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 13874 and 13882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13874 and 13882, than apply into the LCM equation.

GCF(13874,13882) = 2
LCM(13874,13882) = ( 13874 × 13882) / 2
LCM(13874,13882) = 192598868 / 2
LCM(13874,13882) = 96299434

Least Common Multiple (LCM) of 13874 and 13882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13874 and 13882. First we will calculate the prime factors of 13874 and 13882.

Prime Factorization of 13874

Prime Factorization of 13882

Now multiplying the highest exponent prime factors to calculate the LCM of 13874 and 13882.

LCM(13874,13882) = 2¹ × 7¹ × 991¹ × 11¹ × 631¹
LCM(13874,13882) = 96299434