What is the Least Common Multiple of 85085 and 85089?

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 85089 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 85089, than apply into the LCM equation.

GCF(85085,85089) = 1
LCM(85085,85089) = ( 85085 × 85089) / 1
LCM(85085,85089) = 7239797565 / 1
LCM(85085,85089) = 7239797565

Least Common Multiple (LCM) of 85085 and 85089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85085 and 85089. First we will calculate the prime factors of 85085 and 85089.

Prime Factorization of 85085

Prime Factorization of 85089

Now multiplying the highest exponent prime factors to calculate the LCM of 85085 and 85089.

LCM(85085,85089) = 5¹ × 7¹ × 11¹ × 13¹ × 17¹ × 3¹ × 113¹ × 251¹
LCM(85085,85089) = 7239797565