What is the Least Common Multiple of 26908 and 26921?

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 of 26908 and 26921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26908 and 26921, than apply into the LCM equation.

GCF(26908,26921) = 1
LCM(26908,26921) = ( 26908 × 26921) / 1
LCM(26908,26921) = 724390268 / 1
LCM(26908,26921) = 724390268

Least Common Multiple (LCM) of 26908 and 26921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26908 and 26921. First we will calculate the prime factors of 26908 and 26921.

Prime Factorization of 26908

Prime Factorization of 26921

Now multiplying the highest exponent prime factors to calculate the LCM of 26908 and 26921.

LCM(26908,26921) = 2² × 7¹ × 31² × 26921¹
LCM(26908,26921) = 724390268