What is the Least Common Multiple of 26381 and 26387?

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 26381 and 26387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26381 and 26387, than apply into the LCM equation.

GCF(26381,26387) = 1
LCM(26381,26387) = ( 26381 × 26387) / 1
LCM(26381,26387) = 696115447 / 1
LCM(26381,26387) = 696115447

Least Common Multiple (LCM) of 26381 and 26387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26381 and 26387. First we will calculate the prime factors of 26381 and 26387.

Prime Factorization of 26381

Prime Factorization of 26387

Now multiplying the highest exponent prime factors to calculate the LCM of 26381 and 26387.

LCM(26381,26387) = 23¹ × 31¹ × 37¹ × 26387¹
LCM(26381,26387) = 696115447