What is the Least Common Multiple of 13992 and 14011?

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 13992 and 14011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13992 and 14011, than apply into the LCM equation.

GCF(13992,14011) = 1
LCM(13992,14011) = ( 13992 × 14011) / 1
LCM(13992,14011) = 196041912 / 1
LCM(13992,14011) = 196041912

Least Common Multiple (LCM) of 13992 and 14011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13992 and 14011. First we will calculate the prime factors of 13992 and 14011.

Prime Factorization of 13992

Prime Factorization of 14011

Now multiplying the highest exponent prime factors to calculate the LCM of 13992 and 14011.

LCM(13992,14011) = 2³ × 3¹ × 11¹ × 53¹ × 14011¹
LCM(13992,14011) = 196041912