What is the Least Common Multiple of 15435 and 15449?

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 15435 and 15449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15435 and 15449, than apply into the LCM equation.

GCF(15435,15449) = 7
LCM(15435,15449) = ( 15435 × 15449) / 7
LCM(15435,15449) = 238455315 / 7
LCM(15435,15449) = 34065045

Least Common Multiple (LCM) of 15435 and 15449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15435 and 15449. First we will calculate the prime factors of 15435 and 15449.

Prime Factorization of 15435

Prime Factorization of 15449

Now multiplying the highest exponent prime factors to calculate the LCM of 15435 and 15449.

LCM(15435,15449) = 3² × 5¹ × 7³ × 2207¹
LCM(15435,15449) = 34065045