What is the Least Common Multiple of 19305 and 19310?

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 19305 and 19310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19305 and 19310, than apply into the LCM equation.

GCF(19305,19310) = 5
LCM(19305,19310) = ( 19305 × 19310) / 5
LCM(19305,19310) = 372779550 / 5
LCM(19305,19310) = 74555910

Least Common Multiple (LCM) of 19305 and 19310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19305 and 19310. First we will calculate the prime factors of 19305 and 19310.

Prime Factorization of 19305

Prime Factorization of 19310

Now multiplying the highest exponent prime factors to calculate the LCM of 19305 and 19310.

LCM(19305,19310) = 3³ × 5¹ × 11¹ × 13¹ × 2¹ × 1931¹
LCM(19305,19310) = 74555910