Least Common Multiple of 1059 and 1064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1059 and 1064 the smallest integer that is 1126776 that is divisible by both numbers.

Least Common Multiple (LCM) of 1059 and 1064 is 1126776.

LCM(1059,1064) = 1126776

LCM of 1059 and 1064

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

LCM of:
and

Least Common Multiple of 1059 and 1064

LCM of 1059 and 1064 is 1126776

Least common multiple can be found by multiplying the highest exponent prime factors of 1059 and 1064. First we will calculate the prime factors of 1059 and 1064.

Prime Factorization of 1059


3 1059
353 353
1

Prime factors of 1059 are 3,353. Prime factorization of 1059 in exponential form is:

1059 = 31×3531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1059 and 1064.

LCM(1059,1064) = 23×31×71×191×3531
LCM(1059,1064) = 1126776

Factors of 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1, 3, 353, 1059

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

Least Common Multiple of 1059 and 1064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1059 and 1064, than apply into the LCM equation.

GCF(1059,1064) = 1
LCM(1059,1064) = ( 1059 × 1064) / 1
LCM(1059,1064) = 1126776 / 1
LCM(1059,1064) = 1126776

Properties of LCM 1059 and 1064

(i) The LCM of 1064 and 1059 is associative

LCM of 1059 and 1064 = LCM of 1064 and 1059

Related Least Common Multiples of 1059

Related Least Common Multiples of 1064

Frequently Asked Questions on LCM of 1059 and 1064

1. What is the LCM of 1059 and 1064?

Answer: LCM of 1059 and 1064 is 1126776.

2. What are the Factors of 1059?

Answer: Factors of 1059 are 1, 3, 353, 1059. There are 4 integers that are factors of 1059. The greatest factor of 1059 is 1059.

3. 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.

4. How to Find the LCM of 1059 and 1064?

Answer:

Least Common Multiple of 1059 and 1064 = 1126776

Step 1: Find the prime factorization of 1059

1059 = 3 x 353

Step 2: Find the prime factorization of 1064

1064 = 2 x 2 x 2 x 7 x 19

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

LCM = 1126776 = 2 x 2 x 2 x 3 x 7 x 19 x 353

Step 4: Therefore, the least common multiple of 1059 and 1064 is 1126776.