What is the Least Common Multiple of 26757 and 26767?

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 26757 and 26767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26757 and 26767, than apply into the LCM equation.

GCF(26757,26767) = 1
LCM(26757,26767) = ( 26757 × 26767) / 1
LCM(26757,26767) = 716204619 / 1
LCM(26757,26767) = 716204619

Least Common Multiple (LCM) of 26757 and 26767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26757 and 26767. First we will calculate the prime factors of 26757 and 26767.

Prime Factorization of 26757

Prime Factorization of 26767

Now multiplying the highest exponent prime factors to calculate the LCM of 26757 and 26767.

LCM(26757,26767) = 3³ × 991¹ × 13¹ × 29¹ × 71¹
LCM(26757,26767) = 716204619