GCF and LCM Calculator Logo

What is the Least Common Multiple of 21037 and 21056?

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 21037 and 21056 is 442955072.

LCM(21037,21056) = 442955072

LCM Calculator and
and

Least Common Multiple of 21037 and 21056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21037 and 21056, than apply into the LCM equation.

GCF(21037,21056) = 1
LCM(21037,21056) = ( 21037 × 21056) / 1
LCM(21037,21056) = 442955072 / 1
LCM(21037,21056) = 442955072

Least Common Multiple (LCM) of 21037 and 21056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21037 and 21056. First we will calculate the prime factors of 21037 and 21056.

Prime Factorization of 21037

Prime factors of 21037 are 109, 193. Prime factorization of 21037 in exponential form is:

21037 = 1091 × 1931

Prime Factorization of 21056

Prime factors of 21056 are 2, 7, 47. Prime factorization of 21056 in exponential form is:

21056 = 26 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 21037 and 21056.

LCM(21037,21056) = 1091 × 1931 × 26 × 71 × 471
LCM(21037,21056) = 442955072