What is the Least Common Multiple of 15469 and 15481?

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 15469 and 15481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15469 and 15481, than apply into the LCM equation.

GCF(15469,15481) = 1
LCM(15469,15481) = ( 15469 × 15481) / 1
LCM(15469,15481) = 239475589 / 1
LCM(15469,15481) = 239475589

Least Common Multiple (LCM) of 15469 and 15481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15469 and 15481. First we will calculate the prime factors of 15469 and 15481.

Prime Factorization of 15469

Prime Factorization of 15481

Now multiplying the highest exponent prime factors to calculate the LCM of 15469 and 15481.

LCM(15469,15481) = 31¹ × 499¹ × 113¹ × 137¹
LCM(15469,15481) = 239475589