What is the Least Common Multiple of 26582 and 26587?

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 26582 and 26587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26582 and 26587, than apply into the LCM equation.

GCF(26582,26587) = 1
LCM(26582,26587) = ( 26582 × 26587) / 1
LCM(26582,26587) = 706735634 / 1
LCM(26582,26587) = 706735634

Least Common Multiple (LCM) of 26582 and 26587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26582 and 26587. First we will calculate the prime factors of 26582 and 26587.

Prime Factorization of 26582

Prime Factorization of 26587

Now multiplying the highest exponent prime factors to calculate the LCM of 26582 and 26587.

LCM(26582,26587) = 2¹ × 13291¹ × 11¹ × 2417¹
LCM(26582,26587) = 706735634