Least Common Multiple of 1052 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 1052 and 1060 the smallest integer that is 278780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1052 and 1060 is 278780.

LCM(1052,1060) = 278780

LCM of 1052 and 1060

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

LCM of:
and

Least Common Multiple of 1052 and 1060

LCM of 1052 and 1060 is 278780

Least common multiple can be found by multiplying the highest exponent prime factors of 1052 and 1060. First we will calculate the prime factors of 1052 and 1060.

Prime Factorization of 1052


2 1052
2 526
263 263
1

Prime factors of 1052 are 2,263. Prime factorization of 1052 in exponential form is:

1052 = 22×2631

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 1052 and 1060.

LCM(1052,1060) = 22×51×531×2631
LCM(1052,1060) = 278780

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1, 2, 4, 263, 526, 1052

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 1052 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 1052 and 1060, than apply into the LCM equation.

GCF(1052,1060) = 4
LCM(1052,1060) = ( 1052 × 1060) / 4
LCM(1052,1060) = 1115120 / 4
LCM(1052,1060) = 278780

Properties of LCM 1052 and 1060

(i) The LCM of 1060 and 1052 is associative

LCM of 1052 and 1060 = LCM of 1060 and 1052

Related Least Common Multiples of 1052

Related Least Common Multiples of 1060

Frequently Asked Questions on LCM of 1052 and 1060

1. What is the LCM of 1052 and 1060?

Answer: LCM of 1052 and 1060 is 278780.

2. What are the Factors of 1052?

Answer: Factors of 1052 are 1, 2, 4, 263, 526, 1052. There are 6 integers that are factors of 1052. The greatest factor of 1052 is 1052.

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 1052 and 1060?

Answer:

Least Common Multiple of 1052 and 1060 = 278780

Step 1: Find the prime factorization of 1052

1052 = 2 x 2 x 263

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 = 278780 = 2 x 2 x 5 x 53 x 263

Step 4: Therefore, the least common multiple of 1052 and 1060 is 278780.