What is the Least Common Multiple of 19323 and 19342?

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 19323 and 19342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19323 and 19342, than apply into the LCM equation.

GCF(19323,19342) = 19
LCM(19323,19342) = ( 19323 × 19342) / 19
LCM(19323,19342) = 373745466 / 19
LCM(19323,19342) = 19670814

Least Common Multiple (LCM) of 19323 and 19342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19323 and 19342. First we will calculate the prime factors of 19323 and 19342.

Prime Factorization of 19323

Prime Factorization of 19342

Now multiplying the highest exponent prime factors to calculate the LCM of 19323 and 19342.

LCM(19323,19342) = 3² × 19¹ × 113¹ × 2¹ × 509¹
LCM(19323,19342) = 19670814