What is the Least Common Multiple of 19350 and 19354?

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 19350 and 19354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19350 and 19354, than apply into the LCM equation.

GCF(19350,19354) = 2
LCM(19350,19354) = ( 19350 × 19354) / 2
LCM(19350,19354) = 374499900 / 2
LCM(19350,19354) = 187249950

Least Common Multiple (LCM) of 19350 and 19354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19350 and 19354. First we will calculate the prime factors of 19350 and 19354.

Prime Factorization of 19350

Prime Factorization of 19354

Now multiplying the highest exponent prime factors to calculate the LCM of 19350 and 19354.

LCM(19350,19354) = 2¹ × 3² × 5² × 43¹ × 9677¹
LCM(19350,19354) = 187249950