What is the Least Common Multiple of 26519 and 26532?

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 26519 and 26532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26519 and 26532, than apply into the LCM equation.

GCF(26519,26532) = 1
LCM(26519,26532) = ( 26519 × 26532) / 1
LCM(26519,26532) = 703602108 / 1
LCM(26519,26532) = 703602108

Least Common Multiple (LCM) of 26519 and 26532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26519 and 26532. First we will calculate the prime factors of 26519 and 26532.

Prime Factorization of 26519

Prime Factorization of 26532

Now multiplying the highest exponent prime factors to calculate the LCM of 26519 and 26532.

LCM(26519,26532) = 23¹ × 1153¹ × 2² × 3² × 11¹ × 67¹
LCM(26519,26532) = 703602108