What is the Least Common Multiple of 11033 and 11053?

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 11033 and 11053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11033 and 11053, than apply into the LCM equation.

GCF(11033,11053) = 1
LCM(11033,11053) = ( 11033 × 11053) / 1
LCM(11033,11053) = 121947749 / 1
LCM(11033,11053) = 121947749

Least Common Multiple (LCM) of 11033 and 11053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11033 and 11053. First we will calculate the prime factors of 11033 and 11053.

Prime Factorization of 11033

Prime Factorization of 11053

Now multiplying the highest exponent prime factors to calculate the LCM of 11033 and 11053.

LCM(11033,11053) = 11¹ × 17¹ × 59¹ × 7¹ × 1579¹
LCM(11033,11053) = 121947749