What is the Least Common Multiple of 19395 and 19415?

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 19395 and 19415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19395 and 19415, than apply into the LCM equation.

GCF(19395,19415) = 5
LCM(19395,19415) = ( 19395 × 19415) / 5
LCM(19395,19415) = 376553925 / 5
LCM(19395,19415) = 75310785

Least Common Multiple (LCM) of 19395 and 19415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19395 and 19415. First we will calculate the prime factors of 19395 and 19415.

Prime Factorization of 19395

Prime Factorization of 19415

Now multiplying the highest exponent prime factors to calculate the LCM of 19395 and 19415.

LCM(19395,19415) = 3² × 5¹ × 431¹ × 11¹ × 353¹
LCM(19395,19415) = 75310785