GCF and LCM Calculator Logo

What is the Least Common Multiple of 18914 and 18929?

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 18914 and 18929 is 358023106.

LCM(18914,18929) = 358023106

LCM Calculator and
and

Least Common Multiple of 18914 and 18929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18914 and 18929, than apply into the LCM equation.

GCF(18914,18929) = 1
LCM(18914,18929) = ( 18914 × 18929) / 1
LCM(18914,18929) = 358023106 / 1
LCM(18914,18929) = 358023106

Least Common Multiple (LCM) of 18914 and 18929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18914 and 18929. First we will calculate the prime factors of 18914 and 18929.

Prime Factorization of 18914

Prime factors of 18914 are 2, 7, 193. Prime factorization of 18914 in exponential form is:

18914 = 21 × 72 × 1931

Prime Factorization of 18929

Prime factors of 18929 are 23, 823. Prime factorization of 18929 in exponential form is:

18929 = 231 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 18914 and 18929.

LCM(18914,18929) = 21 × 72 × 1931 × 231 × 8231
LCM(18914,18929) = 358023106