GCF and LCM Calculator Logo

What is the Least Common Multiple of 26910 and 26918?

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 26910 and 26918 is 362181690.

LCM(26910,26918) = 362181690

LCM Calculator and
and

Least Common Multiple of 26910 and 26918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26910 and 26918, than apply into the LCM equation.

GCF(26910,26918) = 2
LCM(26910,26918) = ( 26910 × 26918) / 2
LCM(26910,26918) = 724363380 / 2
LCM(26910,26918) = 362181690

Least Common Multiple (LCM) of 26910 and 26918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26910 and 26918. First we will calculate the prime factors of 26910 and 26918.

Prime Factorization of 26910

Prime factors of 26910 are 2, 3, 5, 13, 23. Prime factorization of 26910 in exponential form is:

26910 = 21 × 32 × 51 × 131 × 231

Prime Factorization of 26918

Prime factors of 26918 are 2, 43, 313. Prime factorization of 26918 in exponential form is:

26918 = 21 × 431 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 26910 and 26918.

LCM(26910,26918) = 21 × 32 × 51 × 131 × 231 × 431 × 3131
LCM(26910,26918) = 362181690