Least Common Multiple of 1060 and 1067

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 1067 the smallest integer that is 1131020 that is divisible by both numbers.

Least Common Multiple (LCM) of 1060 and 1067 is 1131020.

LCM(1060,1067) = 1131020

LCM of 1060 and 1067

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

LCM of:
and

Least Common Multiple of 1060 and 1067

LCM of 1060 and 1067 is 1131020

Least common multiple can be found by multiplying the highest exponent prime factors of 1060 and 1067. First we will calculate the prime factors of 1060 and 1067.

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 1067


11 1067
97 97
1

Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:

1067 = 111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1060 and 1067.

LCM(1060,1067) = 22×51×111×531×971
LCM(1060,1067) = 1131020

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 1067

List of positive integer factors of 1067 that divides 1067 without a remainder.

1, 11, 97, 1067

Least Common Multiple of 1060 and 1067 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 1067, than apply into the LCM equation.

GCF(1060,1067) = 1
LCM(1060,1067) = ( 1060 × 1067) / 1
LCM(1060,1067) = 1131020 / 1
LCM(1060,1067) = 1131020

Properties of LCM 1060 and 1067

(i) The LCM of 1067 and 1060 is associative

LCM of 1060 and 1067 = LCM of 1067 and 1060

Related Least Common Multiples of 1060

Related Least Common Multiples of 1067

Frequently Asked Questions on LCM of 1060 and 1067

1. What is the LCM of 1060 and 1067?

Answer: LCM of 1060 and 1067 is 1131020.

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 1067?

Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.

4. How to Find the LCM of 1060 and 1067?

Answer:

Least Common Multiple of 1060 and 1067 = 1131020

Step 1: Find the prime factorization of 1060

1060 = 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 1067

1067 = 11 x 97

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

LCM = 1131020 = 2 x 2 x 5 x 11 x 53 x 97

Step 4: Therefore, the least common multiple of 1060 and 1067 is 1131020.