Least Common Multiple of 1047 and 1052

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 1052 the smallest integer that is 1101444 that is divisible by both numbers.

Least Common Multiple (LCM) of 1047 and 1052 is 1101444.

LCM(1047,1052) = 1101444

LCM of 1047 and 1052

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

LCM of:
and

Least Common Multiple of 1047 and 1052

LCM of 1047 and 1052 is 1101444

Least common multiple can be found by multiplying the highest exponent prime factors of 1047 and 1052. First we will calculate the prime factors of 1047 and 1052.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1047 and 1052.

LCM(1047,1052) = 22×31×2631×3491
LCM(1047,1052) = 1101444

Factors of 1047

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

1, 3, 349, 1047

Factors of 1052

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

1, 2, 4, 263, 526, 1052

Least Common Multiple of 1047 and 1052 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 1052, than apply into the LCM equation.

GCF(1047,1052) = 1
LCM(1047,1052) = ( 1047 × 1052) / 1
LCM(1047,1052) = 1101444 / 1
LCM(1047,1052) = 1101444

Properties of LCM 1047 and 1052

(i) The LCM of 1052 and 1047 is associative

LCM of 1047 and 1052 = LCM of 1052 and 1047

Related Least Common Multiples of 1047

Related Least Common Multiples of 1052

Frequently Asked Questions on LCM of 1047 and 1052

1. What is the LCM of 1047 and 1052?

Answer: LCM of 1047 and 1052 is 1101444.

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 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.

4. How to Find the LCM of 1047 and 1052?

Answer:

Least Common Multiple of 1047 and 1052 = 1101444

Step 1: Find the prime factorization of 1047

1047 = 3 x 349

Step 2: Find the prime factorization of 1052

1052 = 2 x 2 x 263

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

LCM = 1101444 = 2 x 2 x 3 x 263 x 349

Step 4: Therefore, the least common multiple of 1047 and 1052 is 1101444.