What is the Least Common Multiple of 26128 and 26139?

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 26128 and 26139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26128 and 26139, than apply into the LCM equation.

GCF(26128,26139) = 1
LCM(26128,26139) = ( 26128 × 26139) / 1
LCM(26128,26139) = 682959792 / 1
LCM(26128,26139) = 682959792

Least Common Multiple (LCM) of 26128 and 26139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26128 and 26139. First we will calculate the prime factors of 26128 and 26139.

Prime Factorization of 26128

Prime Factorization of 26139

Now multiplying the highest exponent prime factors to calculate the LCM of 26128 and 26139.

LCM(26128,26139) = 2⁴ × 23¹ × 71¹ × 3¹ × 8713¹
LCM(26128,26139) = 682959792