What is the Least Common Multiple of 13986 and 13997?

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 13997 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 13997, than apply into the LCM equation.

GCF(13986,13997) = 1
LCM(13986,13997) = ( 13986 × 13997) / 1
LCM(13986,13997) = 195762042 / 1
LCM(13986,13997) = 195762042

Least Common Multiple (LCM) of 13986 and 13997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13986 and 13997. First we will calculate the prime factors of 13986 and 13997.

Prime Factorization of 13986

Prime Factorization of 13997

Now multiplying the highest exponent prime factors to calculate the LCM of 13986 and 13997.

LCM(13986,13997) = 2¹ × 3³ × 7¹ × 37¹ × 13997¹
LCM(13986,13997) = 195762042