What is the Least Common Multiple of 26892 and 26906?

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 26892 and 26906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26892 and 26906, than apply into the LCM equation.

GCF(26892,26906) = 2
LCM(26892,26906) = ( 26892 × 26906) / 2
LCM(26892,26906) = 723556152 / 2
LCM(26892,26906) = 361778076

Least Common Multiple (LCM) of 26892 and 26906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26892 and 26906. First we will calculate the prime factors of 26892 and 26906.

Prime Factorization of 26892

Prime Factorization of 26906

Now multiplying the highest exponent prime factors to calculate the LCM of 26892 and 26906.

LCM(26892,26906) = 2² × 3⁴ × 83¹ × 11¹ × 1223¹
LCM(26892,26906) = 361778076