What is the Least Common Multiple of 26829 and 26841?

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 26829 and 26841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26829 and 26841, than apply into the LCM equation.

GCF(26829,26841) = 3
LCM(26829,26841) = ( 26829 × 26841) / 3
LCM(26829,26841) = 720117189 / 3
LCM(26829,26841) = 240039063

Least Common Multiple (LCM) of 26829 and 26841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26829 and 26841. First we will calculate the prime factors of 26829 and 26841.

Prime Factorization of 26829

Prime Factorization of 26841

Now multiplying the highest exponent prime factors to calculate the LCM of 26829 and 26841.

LCM(26829,26841) = 3² × 11¹ × 271¹ × 23¹ × 389¹
LCM(26829,26841) = 240039063