Least Common Multiple of 1064 and 1069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1064 and 1069 the smallest integer that is 1137416 that is divisible by both numbers.

Least Common Multiple (LCM) of 1064 and 1069 is 1137416.

LCM(1064,1069) = 1137416

LCM of 1064 and 1069

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1064 and 1069

LCM of 1064 and 1069 is 1137416

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


2 1064
2 532
2 266
7 133
19 19
1

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

1064 = 23×71×191

Prime Factorization of 1069


1069 1069
1

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

Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064

Factors of 1069

List of positive integer factors of 1069 that divides 1069 without a remainder.

1, 1069

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

Properties of LCM 1064 and 1069

(i) The LCM of 1069 and 1064 is associative

LCM of 1064 and 1069 = LCM of 1069 and 1064

Related Least Common Multiples of 1064

Related Least Common Multiples of 1069

Frequently Asked Questions on LCM of 1064 and 1069

1. What is the LCM of 1064 and 1069?

Answer: LCM of 1064 and 1069 is 1137416.

2. What are the Factors of 1064?

Answer: Factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. There are 16 integers that are factors of 1064. The greatest factor of 1064 is 1064.

3. What are the Factors of 1069?

Answer: Factors of 1069 are 1, 1069. There are 2 integers that are factors of 1069. The greatest factor of 1069 is 1069.

4. How to Find the LCM of 1064 and 1069?

Answer:

Least Common Multiple of 1064 and 1069 = 1137416

Step 1: Find the prime factorization of 1064

1064 = 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 1069

1069 = 1069

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1137416 = 2 x 2 x 2 x 7 x 19 x 1069

Step 4: Therefore, the least common multiple of 1064 and 1069 is 1137416.