What is the Least Common Multiple of 13984 and 14002?

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 13984 and 14002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13984 and 14002, than apply into the LCM equation.

GCF(13984,14002) = 2
LCM(13984,14002) = ( 13984 × 14002) / 2
LCM(13984,14002) = 195803968 / 2
LCM(13984,14002) = 97901984

Least Common Multiple (LCM) of 13984 and 14002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13984 and 14002. First we will calculate the prime factors of 13984 and 14002.

Prime Factorization of 13984

Prime Factorization of 14002

Now multiplying the highest exponent prime factors to calculate the LCM of 13984 and 14002.

LCM(13984,14002) = 2⁵ × 19¹ × 23¹ × 7001¹
LCM(13984,14002) = 97901984