What is the Least Common Multiple of 85085 and 85100?

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 85085 and 85100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85085 and 85100, than apply into the LCM equation.

GCF(85085,85100) = 5
LCM(85085,85100) = ( 85085 × 85100) / 5
LCM(85085,85100) = 7240733500 / 5
LCM(85085,85100) = 1448146700

Least Common Multiple (LCM) of 85085 and 85100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85085 and 85100. First we will calculate the prime factors of 85085 and 85100.

Prime Factorization of 85085

Prime Factorization of 85100

Now multiplying the highest exponent prime factors to calculate the LCM of 85085 and 85100.

LCM(85085,85100) = 5² × 7¹ × 11¹ × 13¹ × 17¹ × 2² × 23¹ × 37¹
LCM(85085,85100) = 1448146700