What is the Least Common Multiple of 15474 and 15482?

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 15474 and 15482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15474 and 15482, than apply into the LCM equation.

GCF(15474,15482) = 2
LCM(15474,15482) = ( 15474 × 15482) / 2
LCM(15474,15482) = 239568468 / 2
LCM(15474,15482) = 119784234

Least Common Multiple (LCM) of 15474 and 15482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15474 and 15482. First we will calculate the prime factors of 15474 and 15482.

Prime Factorization of 15474

Prime Factorization of 15482

Now multiplying the highest exponent prime factors to calculate the LCM of 15474 and 15482.

LCM(15474,15482) = 2¹ × 3¹ × 2579¹ × 7741¹
LCM(15474,15482) = 119784234