What is the Least Common Multiple of 85239 and 85253?

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 85239 and 85253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85239 and 85253, than apply into the LCM equation.

GCF(85239,85253) = 7
LCM(85239,85253) = ( 85239 × 85253) / 7
LCM(85239,85253) = 7266880467 / 7
LCM(85239,85253) = 1038125781

Least Common Multiple (LCM) of 85239 and 85253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85239 and 85253. First we will calculate the prime factors of 85239 and 85253.

Prime Factorization of 85239

Prime Factorization of 85253

Now multiplying the highest exponent prime factors to calculate the LCM of 85239 and 85253.

LCM(85239,85253) = 3³ × 7¹ × 11¹ × 41¹ × 19¹ × 641¹
LCM(85239,85253) = 1038125781