Least Common Multiple of 1060 and 1063

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 1063 the smallest integer that is 1126780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1060 and 1063 is 1126780.

LCM(1060,1063) = 1126780

LCM of 1060 and 1063

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

LCM of:
and

Least Common Multiple of 1060 and 1063

LCM of 1060 and 1063 is 1126780

Least common multiple can be found by multiplying the highest exponent prime factors of 1060 and 1063. First we will calculate the prime factors of 1060 and 1063.

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 1063


1063 1063
1

Prime factors of 1063 are 1063. Prime factorization of 1063 in exponential form is:

1063 = 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 1060 and 1063.

LCM(1060,1063) = 22×51×531×10631
LCM(1060,1063) = 1126780

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 1063

List of positive integer factors of 1063 that divides 1063 without a remainder.

1, 1063

Least Common Multiple of 1060 and 1063 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 1063, than apply into the LCM equation.

GCF(1060,1063) = 1
LCM(1060,1063) = ( 1060 × 1063) / 1
LCM(1060,1063) = 1126780 / 1
LCM(1060,1063) = 1126780

Properties of LCM 1060 and 1063

(i) The LCM of 1063 and 1060 is associative

LCM of 1060 and 1063 = LCM of 1063 and 1060

Related Least Common Multiples of 1060

Related Least Common Multiples of 1063

Frequently Asked Questions on LCM of 1060 and 1063

1. What is the LCM of 1060 and 1063?

Answer: LCM of 1060 and 1063 is 1126780.

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 1063?

Answer: Factors of 1063 are 1, 1063. There are 2 integers that are factors of 1063. The greatest factor of 1063 is 1063.

4. How to Find the LCM of 1060 and 1063?

Answer:

Least Common Multiple of 1060 and 1063 = 1126780

Step 1: Find the prime factorization of 1060

1060 = 2 x 2 x 5 x 53

Step 2: Find the prime factorization of 1063

1063 = 1063

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

LCM = 1126780 = 2 x 2 x 5 x 53 x 1063

Step 4: Therefore, the least common multiple of 1060 and 1063 is 1126780.