Least Common Multiple of 1047 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 1047 and 1053 the smallest integer that is 367497 that is divisible by both numbers.

Least Common Multiple (LCM) of 1047 and 1053 is 367497.

LCM(1047,1053) = 367497

LCM of 1047 and 1053

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

LCM of:
and

Least Common Multiple of 1047 and 1053

LCM of 1047 and 1053 is 367497

Least common multiple can be found by multiplying the highest exponent prime factors of 1047 and 1053. First we will calculate the prime factors of 1047 and 1053.

Prime Factorization of 1047


3 1047
349 349
1

Prime factors of 1047 are 3,349. Prime factorization of 1047 in exponential form is:

1047 = 31×3491

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 1047 and 1053.

LCM(1047,1053) = 34×131×3491
LCM(1047,1053) = 367497

Factors of 1047

List of positive integer factors of 1047 that divides 1047 without a remainder.

1, 3, 349, 1047

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 1047 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 1047 and 1053, than apply into the LCM equation.

GCF(1047,1053) = 3
LCM(1047,1053) = ( 1047 × 1053) / 3
LCM(1047,1053) = 1102491 / 3
LCM(1047,1053) = 367497

Properties of LCM 1047 and 1053

(i) The LCM of 1053 and 1047 is associative

LCM of 1047 and 1053 = LCM of 1053 and 1047

Related Least Common Multiples of 1047

Related Least Common Multiples of 1053

Frequently Asked Questions on LCM of 1047 and 1053

1. What is the LCM of 1047 and 1053?

Answer: LCM of 1047 and 1053 is 367497.

2. What are the Factors of 1047?

Answer: Factors of 1047 are 1, 3, 349, 1047. There are 4 integers that are factors of 1047. The greatest factor of 1047 is 1047.

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 1047 and 1053?

Answer:

Least Common Multiple of 1047 and 1053 = 367497

Step 1: Find the prime factorization of 1047

1047 = 3 x 349

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 = 367497 = 3 x 3 x 3 x 3 x 13 x 349

Step 4: Therefore, the least common multiple of 1047 and 1053 is 367497.