What is the Least Common Multiple of 85239 and 85247?

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 85247 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 85247, than apply into the LCM equation.

GCF(85239,85247) = 1
LCM(85239,85247) = ( 85239 × 85247) / 1
LCM(85239,85247) = 7266369033 / 1
LCM(85239,85247) = 7266369033

Least Common Multiple (LCM) of 85239 and 85247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85239 and 85247. First we will calculate the prime factors of 85239 and 85247.

Prime Factorization of 85239

Prime Factorization of 85247

Now multiplying the highest exponent prime factors to calculate the LCM of 85239 and 85247.

LCM(85239,85247) = 3³ × 7¹ × 11¹ × 41¹ × 85247¹
LCM(85239,85247) = 7266369033