What is the Least Common Multiple of 11185 and 11201?

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 11185 and 11201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11185 and 11201, than apply into the LCM equation.

GCF(11185,11201) = 1
LCM(11185,11201) = ( 11185 × 11201) / 1
LCM(11185,11201) = 125283185 / 1
LCM(11185,11201) = 125283185

Least Common Multiple (LCM) of 11185 and 11201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11185 and 11201. First we will calculate the prime factors of 11185 and 11201.

Prime Factorization of 11185

Prime Factorization of 11201

Now multiplying the highest exponent prime factors to calculate the LCM of 11185 and 11201.

LCM(11185,11201) = 5¹ × 2237¹ × 23¹ × 487¹
LCM(11185,11201) = 125283185