What is the Least Common Multiple of 19289 and 19305?

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 19289 and 19305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19289 and 19305, than apply into the LCM equation.

GCF(19289,19305) = 1
LCM(19289,19305) = ( 19289 × 19305) / 1
LCM(19289,19305) = 372374145 / 1
LCM(19289,19305) = 372374145

Least Common Multiple (LCM) of 19289 and 19305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19289 and 19305. First we will calculate the prime factors of 19289 and 19305.

Prime Factorization of 19289

Prime Factorization of 19305

Now multiplying the highest exponent prime factors to calculate the LCM of 19289 and 19305.

LCM(19289,19305) = 19289¹ × 3³ × 5¹ × 11¹ × 13¹
LCM(19289,19305) = 372374145