GCF and LCM Calculator Logo

What is the Least Common Multiple of 11053 and 11064?

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 11053 and 11064 is 122290392.

LCM(11053,11064) = 122290392

LCM Calculator and
and

Least Common Multiple of 11053 and 11064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11053 and 11064, than apply into the LCM equation.

GCF(11053,11064) = 1
LCM(11053,11064) = ( 11053 × 11064) / 1
LCM(11053,11064) = 122290392 / 1
LCM(11053,11064) = 122290392

Least Common Multiple (LCM) of 11053 and 11064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11053 and 11064. First we will calculate the prime factors of 11053 and 11064.

Prime Factorization of 11053

Prime factors of 11053 are 7, 1579. Prime factorization of 11053 in exponential form is:

11053 = 71 × 15791

Prime Factorization of 11064

Prime factors of 11064 are 2, 3, 461. Prime factorization of 11064 in exponential form is:

11064 = 23 × 31 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 11053 and 11064.

LCM(11053,11064) = 71 × 15791 × 23 × 31 × 4611
LCM(11053,11064) = 122290392