What is the Least Common Multiple of 26129 and 26141?

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 26129 and 26141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26129 and 26141, than apply into the LCM equation.

GCF(26129,26141) = 1
LCM(26129,26141) = ( 26129 × 26141) / 1
LCM(26129,26141) = 683038189 / 1
LCM(26129,26141) = 683038189

Least Common Multiple (LCM) of 26129 and 26141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26129 and 26141. First we will calculate the prime factors of 26129 and 26141.

Prime Factorization of 26129

Prime Factorization of 26141

Now multiplying the highest exponent prime factors to calculate the LCM of 26129 and 26141.

LCM(26129,26141) = 17¹ × 29¹ × 53¹ × 26141¹
LCM(26129,26141) = 683038189