What is the Least Common Multiple of 19376 and 19395?

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 19376 and 19395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19376 and 19395, than apply into the LCM equation.

GCF(19376,19395) = 1
LCM(19376,19395) = ( 19376 × 19395) / 1
LCM(19376,19395) = 375797520 / 1
LCM(19376,19395) = 375797520

Least Common Multiple (LCM) of 19376 and 19395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19376 and 19395. First we will calculate the prime factors of 19376 and 19395.

Prime Factorization of 19376

Prime Factorization of 19395

Now multiplying the highest exponent prime factors to calculate the LCM of 19376 and 19395.

LCM(19376,19395) = 2⁴ × 7¹ × 173¹ × 3² × 5¹ × 431¹
LCM(19376,19395) = 375797520