What is the Least Common Multiple of 13971 and 13986?

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 13971 and 13986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13971 and 13986, than apply into the LCM equation.

GCF(13971,13986) = 3
LCM(13971,13986) = ( 13971 × 13986) / 3
LCM(13971,13986) = 195398406 / 3
LCM(13971,13986) = 65132802

Least Common Multiple (LCM) of 13971 and 13986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13971 and 13986. First we will calculate the prime factors of 13971 and 13986.

Prime Factorization of 13971

Prime Factorization of 13986

Now multiplying the highest exponent prime factors to calculate the LCM of 13971 and 13986.

LCM(13971,13986) = 3³ × 4657¹ × 2¹ × 7¹ × 37¹
LCM(13971,13986) = 65132802