Least Common Multiple of 1052 and 1055

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 1055 the smallest integer that is 1109860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1052 and 1055 is 1109860.

LCM(1052,1055) = 1109860

LCM of 1052 and 1055

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

LCM of:
and

Least Common Multiple of 1052 and 1055

LCM of 1052 and 1055 is 1109860

Least common multiple can be found by multiplying the highest exponent prime factors of 1052 and 1055. First we will calculate the prime factors of 1052 and 1055.

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 1055


5 1055
211 211
1

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

1055 = 51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 1052 and 1055.

LCM(1052,1055) = 22×51×2111×2631
LCM(1052,1055) = 1109860

Factors of 1052

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

1, 2, 4, 263, 526, 1052

Factors of 1055

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

1, 5, 211, 1055

Least Common Multiple of 1052 and 1055 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 1055, than apply into the LCM equation.

GCF(1052,1055) = 1
LCM(1052,1055) = ( 1052 × 1055) / 1
LCM(1052,1055) = 1109860 / 1
LCM(1052,1055) = 1109860

Properties of LCM 1052 and 1055

(i) The LCM of 1055 and 1052 is associative

LCM of 1052 and 1055 = LCM of 1055 and 1052

Related Least Common Multiples of 1052

Related Least Common Multiples of 1055

Frequently Asked Questions on LCM of 1052 and 1055

1. What is the LCM of 1052 and 1055?

Answer: LCM of 1052 and 1055 is 1109860.

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 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.

4. How to Find the LCM of 1052 and 1055?

Answer:

Least Common Multiple of 1052 and 1055 = 1109860

Step 1: Find the prime factorization of 1052

1052 = 2 x 2 x 263

Step 2: Find the prime factorization of 1055

1055 = 5 x 211

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

LCM = 1109860 = 2 x 2 x 5 x 211 x 263

Step 4: Therefore, the least common multiple of 1052 and 1055 is 1109860.