What is the Least Common Multiple of 19299 and 19309?

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 19299 and 19309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19299 and 19309, than apply into the LCM equation.

GCF(19299,19309) = 1
LCM(19299,19309) = ( 19299 × 19309) / 1
LCM(19299,19309) = 372644391 / 1
LCM(19299,19309) = 372644391

Least Common Multiple (LCM) of 19299 and 19309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19299 and 19309. First we will calculate the prime factors of 19299 and 19309.

Prime Factorization of 19299

Prime Factorization of 19309

Now multiplying the highest exponent prime factors to calculate the LCM of 19299 and 19309.

LCM(19299,19309) = 3¹ × 7¹ × 919¹ × 19309¹
LCM(19299,19309) = 372644391