What is the Least Common Multiple of 26026 and 26039?

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 26026 and 26039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26026 and 26039, than apply into the LCM equation.

GCF(26026,26039) = 13
LCM(26026,26039) = ( 26026 × 26039) / 13
LCM(26026,26039) = 677691014 / 13
LCM(26026,26039) = 52130078

Least Common Multiple (LCM) of 26026 and 26039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26026 and 26039. First we will calculate the prime factors of 26026 and 26039.

Prime Factorization of 26026

Prime Factorization of 26039

Now multiplying the highest exponent prime factors to calculate the LCM of 26026 and 26039.

LCM(26026,26039) = 2¹ × 7¹ × 11¹ × 13² × 2003¹
LCM(26026,26039) = 52130078