Least Common Multiple of 1060 and 1068

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 1068 the smallest integer that is 283020 that is divisible by both numbers.

Least Common Multiple (LCM) of 1060 and 1068 is 283020.

LCM(1060,1068) = 283020

LCM of 1060 and 1068

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

LCM of:
and

Least Common Multiple of 1060 and 1068

LCM of 1060 and 1068 is 283020

Least common multiple can be found by multiplying the highest exponent prime factors of 1060 and 1068. First we will calculate the prime factors of 1060 and 1068.

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 1068


2 1068
2 534
3 267
89 89
1

Prime factors of 1068 are 2, 3,89. Prime factorization of 1068 in exponential form is:

1068 = 22×31×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1060 and 1068.

LCM(1060,1068) = 22×31×51×531×891
LCM(1060,1068) = 283020

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 1068

List of positive integer factors of 1068 that divides 1068 without a remainder.

1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068

Least Common Multiple of 1060 and 1068 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 1068, than apply into the LCM equation.

GCF(1060,1068) = 4
LCM(1060,1068) = ( 1060 × 1068) / 4
LCM(1060,1068) = 1132080 / 4
LCM(1060,1068) = 283020

Properties of LCM 1060 and 1068

(i) The LCM of 1068 and 1060 is associative

LCM of 1060 and 1068 = LCM of 1068 and 1060

Related Least Common Multiples of 1060

Related Least Common Multiples of 1068

Frequently Asked Questions on LCM of 1060 and 1068

1. What is the LCM of 1060 and 1068?

Answer: LCM of 1060 and 1068 is 283020.

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 1068?

Answer: Factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068. There are 12 integers that are factors of 1068. The greatest factor of 1068 is 1068.

4. How to Find the LCM of 1060 and 1068?

Answer:

Least Common Multiple of 1060 and 1068 = 283020

Step 1: Find the prime factorization of 1060

1060 = 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 1068

1068 = 2 x 2 x 3 x 89

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

LCM = 283020 = 2 x 2 x 3 x 5 x 53 x 89

Step 4: Therefore, the least common multiple of 1060 and 1068 is 283020.