What is the Least Common Multiple of 19085 and 19089?

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 19085 and 19089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19085 and 19089, than apply into the LCM equation.

GCF(19085,19089) = 1
LCM(19085,19089) = ( 19085 × 19089) / 1
LCM(19085,19089) = 364313565 / 1
LCM(19085,19089) = 364313565

Least Common Multiple (LCM) of 19085 and 19089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19085 and 19089. First we will calculate the prime factors of 19085 and 19089.

Prime Factorization of 19085

Prime Factorization of 19089

Now multiplying the highest exponent prime factors to calculate the LCM of 19085 and 19089.

LCM(19085,19089) = 5¹ × 11¹ × 347¹ × 3³ × 7¹ × 101¹
LCM(19085,19089) = 364313565