Least Common Multiple of 1055 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 1055 and 1060 the smallest integer that is 223660 that is divisible by both numbers.

Least Common Multiple (LCM) of 1055 and 1060 is 223660.

LCM(1055,1060) = 223660

LCM of 1055 and 1060

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

LCM of:
and

Least Common Multiple of 1055 and 1060

LCM of 1055 and 1060 is 223660

Least common multiple can be found by multiplying the highest exponent prime factors of 1055 and 1060. First we will calculate the prime factors of 1055 and 1060.

Prime Factorization of 1055


5 1055
211 211
1

Prime factors of 1055 are 5,211. Prime factorization of 1055 in exponential form is:

1055 = 51×2111

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 1055 and 1060.

LCM(1055,1060) = 22×51×531×2111
LCM(1055,1060) = 223660

Factors of 1055

List of positive integer factors of 1055 that divides 1055 without a remainder.

1, 5, 211, 1055

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 1055 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 1055 and 1060, than apply into the LCM equation.

GCF(1055,1060) = 5
LCM(1055,1060) = ( 1055 × 1060) / 5
LCM(1055,1060) = 1118300 / 5
LCM(1055,1060) = 223660

Properties of LCM 1055 and 1060

(i) The LCM of 1060 and 1055 is associative

LCM of 1055 and 1060 = LCM of 1060 and 1055

Related Least Common Multiples of 1055

Related Least Common Multiples of 1060

Frequently Asked Questions on LCM of 1055 and 1060

1. What is the LCM of 1055 and 1060?

Answer: LCM of 1055 and 1060 is 223660.

2. What are the Factors of 1055?

Answer: Factors of 1055 are 1, 5, 211, 1055. There are 4 integers that are factors of 1055. The greatest factor of 1055 is 1055.

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 1055 and 1060?

Answer:

Least Common Multiple of 1055 and 1060 = 223660

Step 1: Find the prime factorization of 1055

1055 = 5 x 211

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 = 223660 = 2 x 2 x 5 x 53 x 211

Step 4: Therefore, the least common multiple of 1055 and 1060 is 223660.