GCF and LCM Calculator Logo

What is the Least Common Multiple of 17897 and 17906?

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 17897 and 17906 is 320463682.

LCM(17897,17906) = 320463682

LCM Calculator and
and

Least Common Multiple of 17897 and 17906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17897 and 17906, than apply into the LCM equation.

GCF(17897,17906) = 1
LCM(17897,17906) = ( 17897 × 17906) / 1
LCM(17897,17906) = 320463682 / 1
LCM(17897,17906) = 320463682

Least Common Multiple (LCM) of 17897 and 17906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17897 and 17906. First we will calculate the prime factors of 17897 and 17906.

Prime Factorization of 17897

Prime factors of 17897 are 11, 1627. Prime factorization of 17897 in exponential form is:

17897 = 111 × 16271

Prime Factorization of 17906

Prime factors of 17906 are 2, 7, 1279. Prime factorization of 17906 in exponential form is:

17906 = 21 × 71 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 17897 and 17906.

LCM(17897,17906) = 111 × 16271 × 21 × 71 × 12791
LCM(17897,17906) = 320463682