GCF and LCM Calculator Logo

What is the Least Common Multiple of 13938 and 13958?

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 13938 and 13958 is 97273302.

LCM(13938,13958) = 97273302

LCM Calculator and
and

Least Common Multiple of 13938 and 13958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13938 and 13958, than apply into the LCM equation.

GCF(13938,13958) = 2
LCM(13938,13958) = ( 13938 × 13958) / 2
LCM(13938,13958) = 194546604 / 2
LCM(13938,13958) = 97273302

Least Common Multiple (LCM) of 13938 and 13958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13938 and 13958. First we will calculate the prime factors of 13938 and 13958.

Prime Factorization of 13938

Prime factors of 13938 are 2, 3, 23, 101. Prime factorization of 13938 in exponential form is:

13938 = 21 × 31 × 231 × 1011

Prime Factorization of 13958

Prime factors of 13958 are 2, 7, 997. Prime factorization of 13958 in exponential form is:

13958 = 21 × 71 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 13938 and 13958.

LCM(13938,13958) = 21 × 31 × 231 × 1011 × 71 × 9971
LCM(13938,13958) = 97273302