Least Common Multiple of 1057 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 1057 and 1060 the smallest integer that is 1120420 that is divisible by both numbers.

Least Common Multiple (LCM) of 1057 and 1060 is 1120420.

LCM(1057,1060) = 1120420

LCM of 1057 and 1060

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

LCM of:
and

Least Common Multiple of 1057 and 1060

LCM of 1057 and 1060 is 1120420

Least common multiple can be found by multiplying the highest exponent prime factors of 1057 and 1060. First we will calculate the prime factors of 1057 and 1060.

Prime Factorization of 1057


7 1057
151 151
1

Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:

1057 = 71×1511

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 1057 and 1060.

LCM(1057,1060) = 22×51×71×531×1511
LCM(1057,1060) = 1120420

Factors of 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1, 7, 151, 1057

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 1057 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 1057 and 1060, than apply into the LCM equation.

GCF(1057,1060) = 1
LCM(1057,1060) = ( 1057 × 1060) / 1
LCM(1057,1060) = 1120420 / 1
LCM(1057,1060) = 1120420

Properties of LCM 1057 and 1060

(i) The LCM of 1060 and 1057 is associative

LCM of 1057 and 1060 = LCM of 1060 and 1057

Frequently Asked Questions on LCM of 1057 and 1060

1. What is the LCM of 1057 and 1060?

Answer: LCM of 1057 and 1060 is 1120420.

2. What are the Factors of 1057?

Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.

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 1057 and 1060?

Answer:

Least Common Multiple of 1057 and 1060 = 1120420

Step 1: Find the prime factorization of 1057

1057 = 7 x 151

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 = 1120420 = 2 x 2 x 5 x 7 x 53 x 151

Step 4: Therefore, the least common multiple of 1057 and 1060 is 1120420.