What is the Least Common Multiple of 19345 and 19350?

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 19345 and 19350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19345 and 19350, than apply into the LCM equation.

GCF(19345,19350) = 5
LCM(19345,19350) = ( 19345 × 19350) / 5
LCM(19345,19350) = 374325750 / 5
LCM(19345,19350) = 74865150

Least Common Multiple (LCM) of 19345 and 19350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19345 and 19350. First we will calculate the prime factors of 19345 and 19350.

Prime Factorization of 19345

Prime Factorization of 19350

Now multiplying the highest exponent prime factors to calculate the LCM of 19345 and 19350.

LCM(19345,19350) = 5² × 53¹ × 73¹ × 2¹ × 3² × 43¹
LCM(19345,19350) = 74865150