GCF and LCM Calculator Logo

What is the Least Common Multiple of 1064 and 1069?

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 1064 and 1069 is 1137416.

LCM(1064,1069) = 1137416

LCM Calculator and
and

Least Common Multiple of 1064 and 1069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1064 and 1069, than apply into the LCM equation.

GCF(1064,1069) = 1
LCM(1064,1069) = ( 1064 × 1069) / 1
LCM(1064,1069) = 1137416 / 1
LCM(1064,1069) = 1137416

Least Common Multiple (LCM) of 1064 and 1069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1064 and 1069. First we will calculate the prime factors of 1064 and 1069.

Prime Factorization of 1064

Prime factors of 1064 are 2, 7, 19. Prime factorization of 1064 in exponential form is:

1064 = 23 × 71 × 191

Prime Factorization of 1069

Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:

1069 = 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 1064 and 1069.

LCM(1064,1069) = 23 × 71 × 191 × 10691
LCM(1064,1069) = 1137416