What is the Least Common Multiple of 11014 and 11033?

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 11014 and 11033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11014 and 11033, than apply into the LCM equation.

GCF(11014,11033) = 1
LCM(11014,11033) = ( 11014 × 11033) / 1
LCM(11014,11033) = 121517462 / 1
LCM(11014,11033) = 121517462

Least Common Multiple (LCM) of 11014 and 11033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11014 and 11033. First we will calculate the prime factors of 11014 and 11033.

Prime Factorization of 11014

Prime Factorization of 11033

Now multiplying the highest exponent prime factors to calculate the LCM of 11014 and 11033.

LCM(11014,11033) = 2¹ × 5507¹ × 11¹ × 17¹ × 59¹
LCM(11014,11033) = 121517462