What is the Least Common Multiple of 13996 and 14007?

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 13996 and 14007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13996 and 14007, than apply into the LCM equation.

GCF(13996,14007) = 1
LCM(13996,14007) = ( 13996 × 14007) / 1
LCM(13996,14007) = 196041972 / 1
LCM(13996,14007) = 196041972

Least Common Multiple (LCM) of 13996 and 14007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13996 and 14007. First we will calculate the prime factors of 13996 and 14007.

Prime Factorization of 13996

Prime Factorization of 14007

Now multiplying the highest exponent prime factors to calculate the LCM of 13996 and 14007.

LCM(13996,14007) = 2² × 3499¹ × 3¹ × 7¹ × 23¹ × 29¹
LCM(13996,14007) = 196041972