What is the Least Common Multiple of 26123 and 26143?

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 26123 and 26143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26123 and 26143, than apply into the LCM equation.

GCF(26123,26143) = 1
LCM(26123,26143) = ( 26123 × 26143) / 1
LCM(26123,26143) = 682933589 / 1
LCM(26123,26143) = 682933589

Least Common Multiple (LCM) of 26123 and 26143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26123 and 26143. First we will calculate the prime factors of 26123 and 26143.

Prime Factorization of 26123

Prime Factorization of 26143

Now multiplying the highest exponent prime factors to calculate the LCM of 26123 and 26143.

LCM(26123,26143) = 151¹ × 173¹ × 13¹ × 2011¹
LCM(26123,26143) = 682933589