GCF and LCM Calculator Logo

What is the Least Common Multiple of 11914 and 11918?

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 11914 and 11918 is 70995526.

LCM(11914,11918) = 70995526

LCM Calculator and
and

Least Common Multiple of 11914 and 11918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11914 and 11918, than apply into the LCM equation.

GCF(11914,11918) = 2
LCM(11914,11918) = ( 11914 × 11918) / 2
LCM(11914,11918) = 141991052 / 2
LCM(11914,11918) = 70995526

Least Common Multiple (LCM) of 11914 and 11918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11914 and 11918. First we will calculate the prime factors of 11914 and 11918.

Prime Factorization of 11914

Prime factors of 11914 are 2, 7, 23, 37. Prime factorization of 11914 in exponential form is:

11914 = 21 × 71 × 231 × 371

Prime Factorization of 11918

Prime factors of 11918 are 2, 59, 101. Prime factorization of 11918 in exponential form is:

11918 = 21 × 591 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 11914 and 11918.

LCM(11914,11918) = 21 × 71 × 231 × 371 × 591 × 1011
LCM(11914,11918) = 70995526