What is the Least Common Multiple of 85289 and 85304?

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 85289 and 85304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85289 and 85304, than apply into the LCM equation.

GCF(85289,85304) = 1
LCM(85289,85304) = ( 85289 × 85304) / 1
LCM(85289,85304) = 7275492856 / 1
LCM(85289,85304) = 7275492856

Least Common Multiple (LCM) of 85289 and 85304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85289 and 85304. First we will calculate the prime factors of 85289 and 85304.

Prime Factorization of 85289

Prime Factorization of 85304

Now multiplying the highest exponent prime factors to calculate the LCM of 85289 and 85304.

LCM(85289,85304) = 17¹ × 29¹ × 173¹ × 2³ × 10663¹
LCM(85289,85304) = 7275492856