GCF and LCM Calculator Logo

What is the Least Common Multiple of 20886 and 20897?

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 20886 and 20897 is 436454742.

LCM(20886,20897) = 436454742

LCM Calculator and
and

Least Common Multiple of 20886 and 20897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20886 and 20897, than apply into the LCM equation.

GCF(20886,20897) = 1
LCM(20886,20897) = ( 20886 × 20897) / 1
LCM(20886,20897) = 436454742 / 1
LCM(20886,20897) = 436454742

Least Common Multiple (LCM) of 20886 and 20897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20886 and 20897. First we will calculate the prime factors of 20886 and 20897.

Prime Factorization of 20886

Prime factors of 20886 are 2, 3, 59. Prime factorization of 20886 in exponential form is:

20886 = 21 × 31 × 592

Prime Factorization of 20897

Prime factors of 20897 are 20897. Prime factorization of 20897 in exponential form is:

20897 = 208971

Now multiplying the highest exponent prime factors to calculate the LCM of 20886 and 20897.

LCM(20886,20897) = 21 × 31 × 592 × 208971
LCM(20886,20897) = 436454742