What is the Least Common Multiple of 85245 and 85259?

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 85245 and 85259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85245 and 85259, than apply into the LCM equation.

GCF(85245,85259) = 1
LCM(85245,85259) = ( 85245 × 85259) / 1
LCM(85245,85259) = 7267903455 / 1
LCM(85245,85259) = 7267903455

Least Common Multiple (LCM) of 85245 and 85259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85245 and 85259. First we will calculate the prime factors of 85245 and 85259.

Prime Factorization of 85245

Prime Factorization of 85259

Now multiplying the highest exponent prime factors to calculate the LCM of 85245 and 85259.

LCM(85245,85259) = 3¹ × 5¹ × 5683¹ × 85259¹
LCM(85245,85259) = 7267903455