What is the Least Common Multiple of 19364 and 19382?

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 19364 and 19382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19364 and 19382, than apply into the LCM equation.

GCF(19364,19382) = 2
LCM(19364,19382) = ( 19364 × 19382) / 2
LCM(19364,19382) = 375313048 / 2
LCM(19364,19382) = 187656524

Least Common Multiple (LCM) of 19364 and 19382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19364 and 19382. First we will calculate the prime factors of 19364 and 19382.

Prime Factorization of 19364

Prime Factorization of 19382

Now multiplying the highest exponent prime factors to calculate the LCM of 19364 and 19382.

LCM(19364,19382) = 2² × 47¹ × 103¹ × 11¹ × 881¹
LCM(19364,19382) = 187656524