What is the Least Common Multiple of 85085 and 85103?

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 85103 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 85103, than apply into the LCM equation.

GCF(85085,85103) = 1
LCM(85085,85103) = ( 85085 × 85103) / 1
LCM(85085,85103) = 7240988755 / 1
LCM(85085,85103) = 7240988755

Least Common Multiple (LCM) of 85085 and 85103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85085 and 85103. First we will calculate the prime factors of 85085 and 85103.

Prime Factorization of 85085

Prime Factorization of 85103

Now multiplying the highest exponent prime factors to calculate the LCM of 85085 and 85103.

LCM(85085,85103) = 5¹ × 7¹ × 11¹ × 13¹ × 17¹ × 85103¹
LCM(85085,85103) = 7240988755