Least Common Multiple of 1046 and 1053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1046 and 1053 the smallest integer that is 1101438 that is divisible by both numbers.

Least Common Multiple (LCM) of 1046 and 1053 is 1101438.

LCM(1046,1053) = 1101438

LCM of 1046 and 1053

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

LCM of:
and

Least Common Multiple of 1046 and 1053

LCM of 1046 and 1053 is 1101438

Least common multiple can be found by multiplying the highest exponent prime factors of 1046 and 1053. First we will calculate the prime factors of 1046 and 1053.

Prime Factorization of 1046


2 1046
523 523
1

Prime factors of 1046 are 2,523. Prime factorization of 1046 in exponential form is:

1046 = 21×5231

Prime Factorization of 1053


3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 1053 are 3,13. Prime factorization of 1053 in exponential form is:

1053 = 34×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1046 and 1053.

LCM(1046,1053) = 21×34×131×5231
LCM(1046,1053) = 1101438

Factors of 1046

List of positive integer factors of 1046 that divides 1046 without a remainder.

1, 2, 523, 1046

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 351, 1053

Least Common Multiple of 1046 and 1053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1046 and 1053, than apply into the LCM equation.

GCF(1046,1053) = 1
LCM(1046,1053) = ( 1046 × 1053) / 1
LCM(1046,1053) = 1101438 / 1
LCM(1046,1053) = 1101438

Properties of LCM 1046 and 1053

(i) The LCM of 1053 and 1046 is associative

LCM of 1046 and 1053 = LCM of 1053 and 1046

Related Least Common Multiples of 1046

Related Least Common Multiples of 1053

Frequently Asked Questions on LCM of 1046 and 1053

1. What is the LCM of 1046 and 1053?

Answer: LCM of 1046 and 1053 is 1101438.

2. What are the Factors of 1046?

Answer: Factors of 1046 are 1, 2, 523, 1046. There are 4 integers that are factors of 1046. The greatest factor of 1046 is 1046.

3. What are the Factors of 1053?

Answer: Factors of 1053 are 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053. There are 10 integers that are factors of 1053. The greatest factor of 1053 is 1053.

4. How to Find the LCM of 1046 and 1053?

Answer:

Least Common Multiple of 1046 and 1053 = 1101438

Step 1: Find the prime factorization of 1046

1046 = 2 x 523

Step 2: Find the prime factorization of 1053

1053 = 3 x 3 x 3 x 3 x 13

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

LCM = 1101438 = 2 x 3 x 3 x 3 x 3 x 13 x 523

Step 4: Therefore, the least common multiple of 1046 and 1053 is 1101438.