What is the Least Common Multiple of 14012 and 14032?

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 14012 and 14032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14012 and 14032, than apply into the LCM equation.

GCF(14012,14032) = 4
LCM(14012,14032) = ( 14012 × 14032) / 4
LCM(14012,14032) = 196616384 / 4
LCM(14012,14032) = 49154096

Least Common Multiple (LCM) of 14012 and 14032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14012 and 14032. First we will calculate the prime factors of 14012 and 14032.

Prime Factorization of 14012

Prime Factorization of 14032

Now multiplying the highest exponent prime factors to calculate the LCM of 14012 and 14032.

LCM(14012,14032) = 2⁴ × 31¹ × 113¹ × 877¹
LCM(14012,14032) = 49154096