Least Common Multiple of 1060 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 1060 and 1064 the smallest integer that is 281960 that is divisible by both numbers.

Least Common Multiple (LCM) of 1060 and 1064 is 281960.

LCM(1060,1064) = 281960

LCM of 1060 and 1064

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

LCM of:
and

Least Common Multiple of 1060 and 1064

LCM of 1060 and 1064 is 281960

Least common multiple can be found by multiplying the highest exponent prime factors of 1060 and 1064. First we will calculate the prime factors of 1060 and 1064.

Prime Factorization of 1060


2 1060
2 530
5 265
53 53
1

Prime factors of 1060 are 2, 5,53. Prime factorization of 1060 in exponential form is:

1060 = 22×51×531

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 1060 and 1064.

LCM(1060,1064) = 23×51×71×191×531
LCM(1060,1064) = 281960

Factors of 1060

List of positive integer factors of 1060 that divides 1060 without a remainder.

1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060

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 1060 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 1060 and 1064, than apply into the LCM equation.

GCF(1060,1064) = 4
LCM(1060,1064) = ( 1060 × 1064) / 4
LCM(1060,1064) = 1127840 / 4
LCM(1060,1064) = 281960

Properties of LCM 1060 and 1064

(i) The LCM of 1064 and 1060 is associative

LCM of 1060 and 1064 = LCM of 1064 and 1060

Related Least Common Multiples of 1060

Related Least Common Multiples of 1064

Frequently Asked Questions on LCM of 1060 and 1064

1. What is the LCM of 1060 and 1064?

Answer: LCM of 1060 and 1064 is 281960.

2. What are the Factors of 1060?

Answer: Factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060. There are 12 integers that are factors of 1060. The greatest factor of 1060 is 1060.

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 1060 and 1064?

Answer:

Least Common Multiple of 1060 and 1064 = 281960

Step 1: Find the prime factorization of 1060

1060 = 2 x 2 x 5 x 53

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 = 281960 = 2 x 2 x 2 x 5 x 7 x 19 x 53

Step 4: Therefore, the least common multiple of 1060 and 1064 is 281960.