What is the Least Common Multiple of 52309 and 52319?

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 52309 and 52319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52309 and 52319, than apply into the LCM equation.

GCF(52309,52319) = 1
LCM(52309,52319) = ( 52309 × 52319) / 1
LCM(52309,52319) = 2736754571 / 1
LCM(52309,52319) = 2736754571

Least Common Multiple (LCM) of 52309 and 52319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52309 and 52319. First we will calculate the prime factors of 52309 and 52319.

Prime Factorization of 52309

Prime Factorization of 52319

Now multiplying the highest exponent prime factors to calculate the LCM of 52309 and 52319.

LCM(52309,52319) = 17² × 181¹ × 113¹ × 463¹
LCM(52309,52319) = 2736754571