GCF and LCM Calculator Logo

What is the Least Common Multiple of 1037 and 1056?

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 1037 and 1056 is 1095072.

LCM(1037,1056) = 1095072

LCM Calculator and
and

Least Common Multiple of 1037 and 1056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1037 and 1056, than apply into the LCM equation.

GCF(1037,1056) = 1
LCM(1037,1056) = ( 1037 × 1056) / 1
LCM(1037,1056) = 1095072 / 1
LCM(1037,1056) = 1095072

Least Common Multiple (LCM) of 1037 and 1056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1037 and 1056. First we will calculate the prime factors of 1037 and 1056.

Prime Factorization of 1037

Prime factors of 1037 are 17, 61. Prime factorization of 1037 in exponential form is:

1037 = 171 × 611

Prime Factorization of 1056

Prime factors of 1056 are 2, 3, 11. Prime factorization of 1056 in exponential form is:

1056 = 25 × 31 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1037 and 1056.

LCM(1037,1056) = 171 × 611 × 25 × 31 × 111
LCM(1037,1056) = 1095072