What is the Least Common Multiple of 26509 and 26519?

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 26509 and 26519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26509 and 26519, than apply into the LCM equation.

GCF(26509,26519) = 1
LCM(26509,26519) = ( 26509 × 26519) / 1
LCM(26509,26519) = 702992171 / 1
LCM(26509,26519) = 702992171

Least Common Multiple (LCM) of 26509 and 26519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26509 and 26519. First we will calculate the prime factors of 26509 and 26519.

Prime Factorization of 26509

Prime Factorization of 26519

Now multiplying the highest exponent prime factors to calculate the LCM of 26509 and 26519.

LCM(26509,26519) = 7² × 541¹ × 23¹ × 1153¹
LCM(26509,26519) = 702992171