What is the Least Common Multiple of 11164 and 11182?

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 11164 and 11182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11164 and 11182, than apply into the LCM equation.

GCF(11164,11182) = 2
LCM(11164,11182) = ( 11164 × 11182) / 2
LCM(11164,11182) = 124835848 / 2
LCM(11164,11182) = 62417924

Least Common Multiple (LCM) of 11164 and 11182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11164 and 11182. First we will calculate the prime factors of 11164 and 11182.

Prime Factorization of 11164

Prime Factorization of 11182

Now multiplying the highest exponent prime factors to calculate the LCM of 11164 and 11182.

LCM(11164,11182) = 2² × 2791¹ × 5591¹
LCM(11164,11182) = 62417924