What is the Least Common Multiple of 26517 and 26531?

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 26517 and 26531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26517 and 26531, than apply into the LCM equation.

GCF(26517,26531) = 1
LCM(26517,26531) = ( 26517 × 26531) / 1
LCM(26517,26531) = 703522527 / 1
LCM(26517,26531) = 703522527

Least Common Multiple (LCM) of 26517 and 26531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26517 and 26531. First we will calculate the prime factors of 26517 and 26531.

Prime Factorization of 26517

Prime Factorization of 26531

Now multiplying the highest exponent prime factors to calculate the LCM of 26517 and 26531.

LCM(26517,26531) = 3¹ × 8839¹ × 43¹ × 617¹
LCM(26517,26531) = 703522527