Least Common Multiple of 1064 and 1066

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 1066 the smallest integer that is 567112 that is divisible by both numbers.

Least Common Multiple (LCM) of 1064 and 1066 is 567112.

LCM(1064,1066) = 567112

LCM of 1064 and 1066

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

LCM of:
and

Least Common Multiple of 1064 and 1066

LCM of 1064 and 1066 is 567112

Least common multiple can be found by multiplying the highest exponent prime factors of 1064 and 1066. First we will calculate the prime factors of 1064 and 1066.

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 1066


2 1066
13 533
41 41
1

Prime factors of 1066 are 2, 13,41. Prime factorization of 1066 in exponential form is:

1066 = 21×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1064 and 1066.

LCM(1064,1066) = 23×71×131×191×411
LCM(1064,1066) = 567112

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 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1, 2, 13, 26, 41, 82, 533, 1066

Least Common Multiple of 1064 and 1066 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 1066, than apply into the LCM equation.

GCF(1064,1066) = 2
LCM(1064,1066) = ( 1064 × 1066) / 2
LCM(1064,1066) = 1134224 / 2
LCM(1064,1066) = 567112

Properties of LCM 1064 and 1066

(i) The LCM of 1066 and 1064 is associative

LCM of 1064 and 1066 = LCM of 1066 and 1064

Related Least Common Multiples of 1064

Related Least Common Multiples of 1066

Frequently Asked Questions on LCM of 1064 and 1066

1. What is the LCM of 1064 and 1066?

Answer: LCM of 1064 and 1066 is 567112.

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 1066?

Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.

4. How to Find the LCM of 1064 and 1066?

Answer:

Least Common Multiple of 1064 and 1066 = 567112

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 1066

1066 = 2 x 13 x 41

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

LCM = 567112 = 2 x 2 x 2 x 7 x 13 x 19 x 41

Step 4: Therefore, the least common multiple of 1064 and 1066 is 567112.