What is the Least Common Multiple of 26258 and 26271?

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 26258 and 26271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26258 and 26271, than apply into the LCM equation.

GCF(26258,26271) = 1
LCM(26258,26271) = ( 26258 × 26271) / 1
LCM(26258,26271) = 689823918 / 1
LCM(26258,26271) = 689823918

Least Common Multiple (LCM) of 26258 and 26271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26258 and 26271. First we will calculate the prime factors of 26258 and 26271.

Prime Factorization of 26258

Prime Factorization of 26271

Now multiplying the highest exponent prime factors to calculate the LCM of 26258 and 26271.

LCM(26258,26271) = 2¹ × 19¹ × 691¹ × 3³ × 7¹ × 139¹
LCM(26258,26271) = 689823918