Least Common Multiple of 1044 and 1047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1044 and 1047 the smallest integer that is 364356 that is divisible by both numbers.

Least Common Multiple (LCM) of 1044 and 1047 is 364356.

LCM(1044,1047) = 364356

LCM of 1044 and 1047

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

LCM of:
and

Least Common Multiple of 1044 and 1047

LCM of 1044 and 1047 is 364356

Least common multiple can be found by multiplying the highest exponent prime factors of 1044 and 1047. First we will calculate the prime factors of 1044 and 1047.

Prime Factorization of 1044


2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 1044 are 2, 3,29. Prime factorization of 1044 in exponential form is:

1044 = 22×32×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1047.

LCM(1044,1047) = 22×32×291×3491
LCM(1044,1047) = 364356

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044

Factors of 1047

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

1, 3, 349, 1047

Least Common Multiple of 1044 and 1047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1044 and 1047, than apply into the LCM equation.

GCF(1044,1047) = 3
LCM(1044,1047) = ( 1044 × 1047) / 3
LCM(1044,1047) = 1093068 / 3
LCM(1044,1047) = 364356

Properties of LCM 1044 and 1047

(i) The LCM of 1047 and 1044 is associative

LCM of 1044 and 1047 = LCM of 1047 and 1044

Related Least Common Multiples of 1044

Related Least Common Multiples of 1047

Frequently Asked Questions on LCM of 1044 and 1047

1. What is the LCM of 1044 and 1047?

Answer: LCM of 1044 and 1047 is 364356.

2. What are the Factors of 1044?

Answer: Factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. There are 18 integers that are factors of 1044. The greatest factor of 1044 is 1044.

3. 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.

4. How to Find the LCM of 1044 and 1047?

Answer:

Least Common Multiple of 1044 and 1047 = 364356

Step 1: Find the prime factorization of 1044

1044 = 2 x 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 1047

1047 = 3 x 349

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

LCM = 364356 = 2 x 2 x 3 x 3 x 29 x 349

Step 4: Therefore, the least common multiple of 1044 and 1047 is 364356.