What is the Least Common Multiple of 33110 and 33122?

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 33110 and 33122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33110 and 33122, than apply into the LCM equation.

GCF(33110,33122) = 2
LCM(33110,33122) = ( 33110 × 33122) / 2
LCM(33110,33122) = 1096669420 / 2
LCM(33110,33122) = 548334710

Least Common Multiple (LCM) of 33110 and 33122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33110 and 33122. First we will calculate the prime factors of 33110 and 33122.

Prime Factorization of 33110

Prime Factorization of 33122

Now multiplying the highest exponent prime factors to calculate the LCM of 33110 and 33122.

LCM(33110,33122) = 2¹ × 5¹ × 7¹ × 11¹ × 43¹ × 16561¹
LCM(33110,33122) = 548334710