What is the Least Common Multiple of 26105 and 26123?

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 26105 and 26123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26105 and 26123, than apply into the LCM equation.

GCF(26105,26123) = 1
LCM(26105,26123) = ( 26105 × 26123) / 1
LCM(26105,26123) = 681940915 / 1
LCM(26105,26123) = 681940915

Least Common Multiple (LCM) of 26105 and 26123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26105 and 26123. First we will calculate the prime factors of 26105 and 26123.

Prime Factorization of 26105

Prime Factorization of 26123

Now multiplying the highest exponent prime factors to calculate the LCM of 26105 and 26123.

LCM(26105,26123) = 5¹ × 23¹ × 227¹ × 151¹ × 173¹
LCM(26105,26123) = 681940915