What is the Least Common Multiple of 26124 and 26138?

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 26124 and 26138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26124 and 26138, than apply into the LCM equation.

GCF(26124,26138) = 14
LCM(26124,26138) = ( 26124 × 26138) / 14
LCM(26124,26138) = 682829112 / 14
LCM(26124,26138) = 48773508

Least Common Multiple (LCM) of 26124 and 26138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26124 and 26138. First we will calculate the prime factors of 26124 and 26138.

Prime Factorization of 26124

Prime Factorization of 26138

Now multiplying the highest exponent prime factors to calculate the LCM of 26124 and 26138.

LCM(26124,26138) = 2² × 3¹ × 7¹ × 311¹ × 1867¹
LCM(26124,26138) = 48773508