What is the Least Common Multiple of 11070 and 11085?

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 11070 and 11085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11070 and 11085, than apply into the LCM equation.

GCF(11070,11085) = 15
LCM(11070,11085) = ( 11070 × 11085) / 15
LCM(11070,11085) = 122710950 / 15
LCM(11070,11085) = 8180730

Least Common Multiple (LCM) of 11070 and 11085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11070 and 11085. First we will calculate the prime factors of 11070 and 11085.

Prime Factorization of 11070

Prime Factorization of 11085

Now multiplying the highest exponent prime factors to calculate the LCM of 11070 and 11085.

LCM(11070,11085) = 2¹ × 3³ × 5¹ × 41¹ × 739¹
LCM(11070,11085) = 8180730