What is the Least Common Multiple of 11322 and 11339?

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 11322 and 11339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11322 and 11339, than apply into the LCM equation.

GCF(11322,11339) = 17
LCM(11322,11339) = ( 11322 × 11339) / 17
LCM(11322,11339) = 128380158 / 17
LCM(11322,11339) = 7551774

Least Common Multiple (LCM) of 11322 and 11339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11322 and 11339. First we will calculate the prime factors of 11322 and 11339.

Prime Factorization of 11322

Prime Factorization of 11339

Now multiplying the highest exponent prime factors to calculate the LCM of 11322 and 11339.

LCM(11322,11339) = 2¹ × 3² × 17¹ × 37¹ × 23¹ × 29¹
LCM(11322,11339) = 7551774