GCF and LCM Calculator Logo

What is the Least Common Multiple of 28214 and 28219?

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 28214 and 28219 is 796170866.

LCM(28214,28219) = 796170866

LCM Calculator and
and

Least Common Multiple of 28214 and 28219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28214 and 28219, than apply into the LCM equation.

GCF(28214,28219) = 1
LCM(28214,28219) = ( 28214 × 28219) / 1
LCM(28214,28219) = 796170866 / 1
LCM(28214,28219) = 796170866

Least Common Multiple (LCM) of 28214 and 28219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28214 and 28219. First we will calculate the prime factors of 28214 and 28219.

Prime Factorization of 28214

Prime factors of 28214 are 2, 14107. Prime factorization of 28214 in exponential form is:

28214 = 21 × 141071

Prime Factorization of 28219

Prime factors of 28219 are 28219. Prime factorization of 28219 in exponential form is:

28219 = 282191

Now multiplying the highest exponent prime factors to calculate the LCM of 28214 and 28219.

LCM(28214,28219) = 21 × 141071 × 282191
LCM(28214,28219) = 796170866