What is the Least Common Multiple of 19319 and 19332?

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 19319 and 19332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19319 and 19332, than apply into the LCM equation.

GCF(19319,19332) = 1
LCM(19319,19332) = ( 19319 × 19332) / 1
LCM(19319,19332) = 373474908 / 1
LCM(19319,19332) = 373474908

Least Common Multiple (LCM) of 19319 and 19332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19319 and 19332. First we will calculate the prime factors of 19319 and 19332.

Prime Factorization of 19319

Prime Factorization of 19332

Now multiplying the highest exponent prime factors to calculate the LCM of 19319 and 19332.

LCM(19319,19332) = 19319¹ × 2² × 3³ × 179¹
LCM(19319,19332) = 373474908