Least Common Multiple of 1050 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 1050 and 1053 the smallest integer that is 368550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1050 and 1053 is 368550.

LCM(1050,1053) = 368550

LCM of 1050 and 1053

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

LCM of:
and

Least Common Multiple of 1050 and 1053

LCM of 1050 and 1053 is 368550

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1053. First we will calculate the prime factors of 1050 and 1053.

Prime Factorization of 1050


2 1050
3 525
5 175
5 35
7 7
1

Prime factors of 1050 are 2, 3, 5,7. Prime factorization of 1050 in exponential form is:

1050 = 21×31×52×71

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 1050 and 1053.

LCM(1050,1053) = 21×34×52×71×131
LCM(1050,1053) = 368550

Factors of 1050

List of positive integer factors of 1050 that divides 1050 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050

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 1050 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 1050 and 1053, than apply into the LCM equation.

GCF(1050,1053) = 3
LCM(1050,1053) = ( 1050 × 1053) / 3
LCM(1050,1053) = 1105650 / 3
LCM(1050,1053) = 368550

Properties of LCM 1050 and 1053

(i) The LCM of 1053 and 1050 is associative

LCM of 1050 and 1053 = LCM of 1053 and 1050

Related Least Common Multiples of 1050

Related Least Common Multiples of 1053

Frequently Asked Questions on LCM of 1050 and 1053

1. What is the LCM of 1050 and 1053?

Answer: LCM of 1050 and 1053 is 368550.

2. What are the Factors of 1050?

Answer: Factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. There are 24 integers that are factors of 1050. The greatest factor of 1050 is 1050.

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 1050 and 1053?

Answer:

Least Common Multiple of 1050 and 1053 = 368550

Step 1: Find the prime factorization of 1050

1050 = 2 x 3 x 5 x 5 x 7

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 = 368550 = 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 13

Step 4: Therefore, the least common multiple of 1050 and 1053 is 368550.