What is the Least Common Multiple of 26754 and 26761?

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 26754 and 26761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26754 and 26761, than apply into the LCM equation.

GCF(26754,26761) = 7
LCM(26754,26761) = ( 26754 × 26761) / 7
LCM(26754,26761) = 715963794 / 7
LCM(26754,26761) = 102280542

Least Common Multiple (LCM) of 26754 and 26761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26754 and 26761. First we will calculate the prime factors of 26754 and 26761.

Prime Factorization of 26754

Prime Factorization of 26761

Now multiplying the highest exponent prime factors to calculate the LCM of 26754 and 26761.

LCM(26754,26761) = 2¹ × 3¹ × 7³ × 13¹ × 3823¹
LCM(26754,26761) = 102280542