Least Common Multiple of 1059 and 1060

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 1060 the smallest integer that is 1122540 that is divisible by both numbers.

Least Common Multiple (LCM) of 1059 and 1060 is 1122540.

LCM(1059,1060) = 1122540

LCM of 1059 and 1060

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

LCM of:
and

Least Common Multiple of 1059 and 1060

LCM of 1059 and 1060 is 1122540

Least common multiple can be found by multiplying the highest exponent prime factors of 1059 and 1060. First we will calculate the prime factors of 1059 and 1060.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1059 and 1060.

LCM(1059,1060) = 22×31×51×531×3531
LCM(1059,1060) = 1122540

Factors of 1059

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

1, 3, 353, 1059

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

Least Common Multiple of 1059 and 1060 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 1060, than apply into the LCM equation.

GCF(1059,1060) = 1
LCM(1059,1060) = ( 1059 × 1060) / 1
LCM(1059,1060) = 1122540 / 1
LCM(1059,1060) = 1122540

Properties of LCM 1059 and 1060

(i) The LCM of 1060 and 1059 is associative

LCM of 1059 and 1060 = LCM of 1060 and 1059

Related Least Common Multiples of 1059

Related Least Common Multiples of 1060

Frequently Asked Questions on LCM of 1059 and 1060

1. What is the LCM of 1059 and 1060?

Answer: LCM of 1059 and 1060 is 1122540.

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 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.

4. How to Find the LCM of 1059 and 1060?

Answer:

Least Common Multiple of 1059 and 1060 = 1122540

Step 1: Find the prime factorization of 1059

1059 = 3 x 353

Step 2: Find the prime factorization of 1060

1060 = 2 x 2 x 5 x 53

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

LCM = 1122540 = 2 x 2 x 3 x 5 x 53 x 353

Step 4: Therefore, the least common multiple of 1059 and 1060 is 1122540.