What is the Least Common Multiple of 17409 and 17415?

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 17409 and 17415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17409 and 17415, than apply into the LCM equation.

GCF(17409,17415) = 3
LCM(17409,17415) = ( 17409 × 17415) / 3
LCM(17409,17415) = 303177735 / 3
LCM(17409,17415) = 101059245

Least Common Multiple (LCM) of 17409 and 17415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17409 and 17415. First we will calculate the prime factors of 17409 and 17415.

Prime Factorization of 17409

Prime Factorization of 17415

Now multiplying the highest exponent prime factors to calculate the LCM of 17409 and 17415.

LCM(17409,17415) = 3⁴ × 7¹ × 829¹ × 5¹ × 43¹
LCM(17409,17415) = 101059245