What is the Least Common Multiple of 85228 and 85239?

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 85228 and 85239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85228 and 85239, than apply into the LCM equation.

GCF(85228,85239) = 11
LCM(85228,85239) = ( 85228 × 85239) / 11
LCM(85228,85239) = 7264749492 / 11
LCM(85228,85239) = 660431772

Least Common Multiple (LCM) of 85228 and 85239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85228 and 85239. First we will calculate the prime factors of 85228 and 85239.

Prime Factorization of 85228

Prime Factorization of 85239

Now multiplying the highest exponent prime factors to calculate the LCM of 85228 and 85239.

LCM(85228,85239) = 2² × 11¹ × 13¹ × 149¹ × 3³ × 7¹ × 41¹
LCM(85228,85239) = 660431772