What is the Least Common Multiple of 11085 and 11102?

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 11085 and 11102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11085 and 11102, than apply into the LCM equation.

GCF(11085,11102) = 1
LCM(11085,11102) = ( 11085 × 11102) / 1
LCM(11085,11102) = 123065670 / 1
LCM(11085,11102) = 123065670

Least Common Multiple (LCM) of 11085 and 11102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11085 and 11102. First we will calculate the prime factors of 11085 and 11102.

Prime Factorization of 11085

Prime Factorization of 11102

Now multiplying the highest exponent prime factors to calculate the LCM of 11085 and 11102.

LCM(11085,11102) = 3¹ × 5¹ × 739¹ × 2¹ × 7¹ × 13¹ × 61¹
LCM(11085,11102) = 123065670