What is the Least Common Multiple of 26117 and 26122?

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 26117 and 26122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26117 and 26122, than apply into the LCM equation.

GCF(26117,26122) = 1
LCM(26117,26122) = ( 26117 × 26122) / 1
LCM(26117,26122) = 682228274 / 1
LCM(26117,26122) = 682228274

Least Common Multiple (LCM) of 26117 and 26122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26117 and 26122. First we will calculate the prime factors of 26117 and 26122.

Prime Factorization of 26117

Prime Factorization of 26122

Now multiplying the highest exponent prime factors to calculate the LCM of 26117 and 26122.

LCM(26117,26122) = 7² × 13¹ × 41¹ × 2¹ × 37¹ × 353¹
LCM(26117,26122) = 682228274