GCF and LCM Calculator Logo

What is the Least Common Multiple of 11066 and 11083?

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 (LCM) of 11066 and 11083 is 122644478.

LCM(11066,11083) = 122644478

LCM Calculator and
and

Least Common Multiple of 11066 and 11083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11066 and 11083, than apply into the LCM equation.

GCF(11066,11083) = 1
LCM(11066,11083) = ( 11066 × 11083) / 1
LCM(11066,11083) = 122644478 / 1
LCM(11066,11083) = 122644478

Least Common Multiple (LCM) of 11066 and 11083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11066 and 11083. First we will calculate the prime factors of 11066 and 11083.

Prime Factorization of 11066

Prime factors of 11066 are 2, 11, 503. Prime factorization of 11066 in exponential form is:

11066 = 21 × 111 × 5031

Prime Factorization of 11083

Prime factors of 11083 are 11083. Prime factorization of 11083 in exponential form is:

11083 = 110831

Now multiplying the highest exponent prime factors to calculate the LCM of 11066 and 11083.

LCM(11066,11083) = 21 × 111 × 5031 × 110831
LCM(11066,11083) = 122644478