Least Common Multiple of 1052 and 1054

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 1054 the smallest integer that is 554404 that is divisible by both numbers.

Least Common Multiple (LCM) of 1052 and 1054 is 554404.

LCM(1052,1054) = 554404

LCM of 1052 and 1054

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

LCM of:
and

Least Common Multiple of 1052 and 1054

LCM of 1052 and 1054 is 554404

Least common multiple can be found by multiplying the highest exponent prime factors of 1052 and 1054. First we will calculate the prime factors of 1052 and 1054.

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 1054


2 1054
17 527
31 31
1

Prime factors of 1054 are 2, 17,31. Prime factorization of 1054 in exponential form is:

1054 = 21×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1052 and 1054.

LCM(1052,1054) = 22×171×311×2631
LCM(1052,1054) = 554404

Factors of 1052

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

1, 2, 4, 263, 526, 1052

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1, 2, 17, 31, 34, 62, 527, 1054

Least Common Multiple of 1052 and 1054 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 1054, than apply into the LCM equation.

GCF(1052,1054) = 2
LCM(1052,1054) = ( 1052 × 1054) / 2
LCM(1052,1054) = 1108808 / 2
LCM(1052,1054) = 554404

Properties of LCM 1052 and 1054

(i) The LCM of 1054 and 1052 is associative

LCM of 1052 and 1054 = LCM of 1054 and 1052

Related Least Common Multiples of 1052

Related Least Common Multiples of 1054

Frequently Asked Questions on LCM of 1052 and 1054

1. What is the LCM of 1052 and 1054?

Answer: LCM of 1052 and 1054 is 554404.

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 1054?

Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.

4. How to Find the LCM of 1052 and 1054?

Answer:

Least Common Multiple of 1052 and 1054 = 554404

Step 1: Find the prime factorization of 1052

1052 = 2 x 2 x 263

Step 2: Find the prime factorization of 1054

1054 = 2 x 17 x 31

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

LCM = 554404 = 2 x 2 x 17 x 31 x 263

Step 4: Therefore, the least common multiple of 1052 and 1054 is 554404.