What is the Least Common Multiple of 15474 and 15479?

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 15479 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 15479, than apply into the LCM equation.

GCF(15474,15479) = 1
LCM(15474,15479) = ( 15474 × 15479) / 1
LCM(15474,15479) = 239522046 / 1
LCM(15474,15479) = 239522046

Least Common Multiple (LCM) of 15474 and 15479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15474 and 15479. First we will calculate the prime factors of 15474 and 15479.

Prime Factorization of 15474

Prime Factorization of 15479

Now multiplying the highest exponent prime factors to calculate the LCM of 15474 and 15479.

LCM(15474,15479) = 2¹ × 3¹ × 2579¹ × 23¹ × 673¹
LCM(15474,15479) = 239522046