GCF and LCM Calculator Logo

What is the Least Common Multiple of 14012 and 14021?

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 (LCM) of 14012 and 14021 is 196462252.

LCM(14012,14021) = 196462252

LCM Calculator and
and

Least Common Multiple of 14012 and 14021 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 14021, than apply into the LCM equation.

GCF(14012,14021) = 1
LCM(14012,14021) = ( 14012 × 14021) / 1
LCM(14012,14021) = 196462252 / 1
LCM(14012,14021) = 196462252

Least Common Multiple (LCM) of 14012 and 14021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14012 and 14021. First we will calculate the prime factors of 14012 and 14021.

Prime Factorization of 14012

Prime factors of 14012 are 2, 31, 113. Prime factorization of 14012 in exponential form is:

14012 = 22 × 311 × 1131

Prime Factorization of 14021

Prime factors of 14021 are 7, 2003. Prime factorization of 14021 in exponential form is:

14021 = 71 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 14012 and 14021.

LCM(14012,14021) = 22 × 311 × 1131 × 71 × 20031
LCM(14012,14021) = 196462252