GCF and LCM Calculator Logo

What is the Least Common Multiple of 20872 and 20879?

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 20872 and 20879 is 435786488.

LCM(20872,20879) = 435786488

LCM Calculator and
and

Least Common Multiple of 20872 and 20879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20872 and 20879, than apply into the LCM equation.

GCF(20872,20879) = 1
LCM(20872,20879) = ( 20872 × 20879) / 1
LCM(20872,20879) = 435786488 / 1
LCM(20872,20879) = 435786488

Least Common Multiple (LCM) of 20872 and 20879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20872 and 20879. First we will calculate the prime factors of 20872 and 20879.

Prime Factorization of 20872

Prime factors of 20872 are 2, 2609. Prime factorization of 20872 in exponential form is:

20872 = 23 × 26091

Prime Factorization of 20879

Prime factors of 20879 are 20879. Prime factorization of 20879 in exponential form is:

20879 = 208791

Now multiplying the highest exponent prime factors to calculate the LCM of 20872 and 20879.

LCM(20872,20879) = 23 × 26091 × 208791
LCM(20872,20879) = 435786488