What is the Least Common Multiple of 26364 and 26377?

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 26364 and 26377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26364 and 26377, than apply into the LCM equation.

GCF(26364,26377) = 13
LCM(26364,26377) = ( 26364 × 26377) / 13
LCM(26364,26377) = 695403228 / 13
LCM(26364,26377) = 53492556

Least Common Multiple (LCM) of 26364 and 26377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26364 and 26377. First we will calculate the prime factors of 26364 and 26377.

Prime Factorization of 26364

Prime Factorization of 26377

Now multiplying the highest exponent prime factors to calculate the LCM of 26364 and 26377.

LCM(26364,26377) = 2² × 3¹ × 13³ × 2029¹
LCM(26364,26377) = 53492556