What is the Least Common Multiple of 74385 and 74404?

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 74385 and 74404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74385 and 74404, than apply into the LCM equation.

GCF(74385,74404) = 19
LCM(74385,74404) = ( 74385 × 74404) / 19
LCM(74385,74404) = 5534541540 / 19
LCM(74385,74404) = 291291660

Least Common Multiple (LCM) of 74385 and 74404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74385 and 74404. First we will calculate the prime factors of 74385 and 74404.

Prime Factorization of 74385

Prime Factorization of 74404

Now multiplying the highest exponent prime factors to calculate the LCM of 74385 and 74404.

LCM(74385,74404) = 3³ × 5¹ × 19¹ × 29¹ × 2² × 11¹ × 89¹
LCM(74385,74404) = 291291660