GCF and LCM Calculator Logo

What is the Least Common Multiple of 13898 and 13914?

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 13898 and 13914 is 96688386.

LCM(13898,13914) = 96688386

LCM Calculator and
and

Least Common Multiple of 13898 and 13914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13898 and 13914, than apply into the LCM equation.

GCF(13898,13914) = 2
LCM(13898,13914) = ( 13898 × 13914) / 2
LCM(13898,13914) = 193376772 / 2
LCM(13898,13914) = 96688386

Least Common Multiple (LCM) of 13898 and 13914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13898 and 13914. First we will calculate the prime factors of 13898 and 13914.

Prime Factorization of 13898

Prime factors of 13898 are 2, 6949. Prime factorization of 13898 in exponential form is:

13898 = 21 × 69491

Prime Factorization of 13914

Prime factors of 13914 are 2, 3, 773. Prime factorization of 13914 in exponential form is:

13914 = 21 × 32 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 13898 and 13914.

LCM(13898,13914) = 21 × 69491 × 32 × 7731
LCM(13898,13914) = 96688386