What is the Least Common Multiple of 19059 and 19065?

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 19059 and 19065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19059 and 19065, than apply into the LCM equation.

GCF(19059,19065) = 3
LCM(19059,19065) = ( 19059 × 19065) / 3
LCM(19059,19065) = 363359835 / 3
LCM(19059,19065) = 121119945

Least Common Multiple (LCM) of 19059 and 19065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19059 and 19065. First we will calculate the prime factors of 19059 and 19065.

Prime Factorization of 19059

Prime Factorization of 19065

Now multiplying the highest exponent prime factors to calculate the LCM of 19059 and 19065.

LCM(19059,19065) = 3¹ × 6353¹ × 5¹ × 31¹ × 41¹
LCM(19059,19065) = 121119945