What is the Least Common Multiple of 19308 and 19321?

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 19308 and 19321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19308 and 19321, than apply into the LCM equation.

GCF(19308,19321) = 1
LCM(19308,19321) = ( 19308 × 19321) / 1
LCM(19308,19321) = 373049868 / 1
LCM(19308,19321) = 373049868

Least Common Multiple (LCM) of 19308 and 19321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19308 and 19321. First we will calculate the prime factors of 19308 and 19321.

Prime Factorization of 19308

Prime Factorization of 19321

Now multiplying the highest exponent prime factors to calculate the LCM of 19308 and 19321.

LCM(19308,19321) = 2² × 3¹ × 1609¹ × 139²
LCM(19308,19321) = 373049868