GCF and LCM Calculator Logo

What is the Least Common Multiple of 26911 and 26922?

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 26911 and 26922 is 724497942.

LCM(26911,26922) = 724497942

LCM Calculator and
and

Least Common Multiple of 26911 and 26922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26911 and 26922, than apply into the LCM equation.

GCF(26911,26922) = 1
LCM(26911,26922) = ( 26911 × 26922) / 1
LCM(26911,26922) = 724497942 / 1
LCM(26911,26922) = 724497942

Least Common Multiple (LCM) of 26911 and 26922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26911 and 26922. First we will calculate the prime factors of 26911 and 26922.

Prime Factorization of 26911

Prime factors of 26911 are 17, 1583. Prime factorization of 26911 in exponential form is:

26911 = 171 × 15831

Prime Factorization of 26922

Prime factors of 26922 are 2, 3, 7, 641. Prime factorization of 26922 in exponential form is:

26922 = 21 × 31 × 71 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 26911 and 26922.

LCM(26911,26922) = 171 × 15831 × 21 × 31 × 71 × 6411
LCM(26911,26922) = 724497942