What is the Least Common Multiple of 74409 and 74415?

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 74409 and 74415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74409 and 74415, than apply into the LCM equation.

GCF(74409,74415) = 3
LCM(74409,74415) = ( 74409 × 74415) / 3
LCM(74409,74415) = 5537145735 / 3
LCM(74409,74415) = 1845715245

Least Common Multiple (LCM) of 74409 and 74415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74409 and 74415. First we will calculate the prime factors of 74409 and 74415.

Prime Factorization of 74409

Prime Factorization of 74415

Now multiplying the highest exponent prime factors to calculate the LCM of 74409 and 74415.

LCM(74409,74415) = 3¹ × 17¹ × 1459¹ × 5¹ × 11² × 41¹
LCM(74409,74415) = 1845715245