GCF and LCM Calculator Logo

What is the Least Common Multiple of 14019 and 14033?

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 14019 and 14033 is 196728627.

LCM(14019,14033) = 196728627

LCM Calculator and
and

Least Common Multiple of 14019 and 14033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14019 and 14033, than apply into the LCM equation.

GCF(14019,14033) = 1
LCM(14019,14033) = ( 14019 × 14033) / 1
LCM(14019,14033) = 196728627 / 1
LCM(14019,14033) = 196728627

Least Common Multiple (LCM) of 14019 and 14033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14019 and 14033. First we will calculate the prime factors of 14019 and 14033.

Prime Factorization of 14019

Prime factors of 14019 are 3, 4673. Prime factorization of 14019 in exponential form is:

14019 = 31 × 46731

Prime Factorization of 14033

Prime factors of 14033 are 14033. Prime factorization of 14033 in exponential form is:

14033 = 140331

Now multiplying the highest exponent prime factors to calculate the LCM of 14019 and 14033.

LCM(14019,14033) = 31 × 46731 × 140331
LCM(14019,14033) = 196728627