What is the Least Common Multiple of 13986 and 14001?

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 13986 and 14001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13986 and 14001, than apply into the LCM equation.

GCF(13986,14001) = 3
LCM(13986,14001) = ( 13986 × 14001) / 3
LCM(13986,14001) = 195817986 / 3
LCM(13986,14001) = 65272662

Least Common Multiple (LCM) of 13986 and 14001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13986 and 14001. First we will calculate the prime factors of 13986 and 14001.

Prime Factorization of 13986

Prime Factorization of 14001

Now multiplying the highest exponent prime factors to calculate the LCM of 13986 and 14001.

LCM(13986,14001) = 2¹ × 3³ × 7¹ × 37¹ × 13¹ × 359¹
LCM(13986,14001) = 65272662