What is the Least Common Multiple of 26138 and 26156?

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 26138 and 26156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26138 and 26156, than apply into the LCM equation.

GCF(26138,26156) = 2
LCM(26138,26156) = ( 26138 × 26156) / 2
LCM(26138,26156) = 683665528 / 2
LCM(26138,26156) = 341832764

Least Common Multiple (LCM) of 26138 and 26156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26138 and 26156. First we will calculate the prime factors of 26138 and 26156.

Prime Factorization of 26138

Prime Factorization of 26156

Now multiplying the highest exponent prime factors to calculate the LCM of 26138 and 26156.

LCM(26138,26156) = 2² × 7¹ × 1867¹ × 13¹ × 503¹
LCM(26138,26156) = 341832764