Least Common Multiple of 1050 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 1050 and 1052 the smallest integer that is 552300 that is divisible by both numbers.

Least Common Multiple (LCM) of 1050 and 1052 is 552300.

LCM(1050,1052) = 552300

LCM of 1050 and 1052

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

LCM of:
and

Least Common Multiple of 1050 and 1052

LCM of 1050 and 1052 is 552300

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1052. First we will calculate the prime factors of 1050 and 1052.

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 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 1050 and 1052.

LCM(1050,1052) = 22×31×52×71×2631
LCM(1050,1052) = 552300

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 1052

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

1, 2, 4, 263, 526, 1052

Least Common Multiple of 1050 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 1050 and 1052, than apply into the LCM equation.

GCF(1050,1052) = 2
LCM(1050,1052) = ( 1050 × 1052) / 2
LCM(1050,1052) = 1104600 / 2
LCM(1050,1052) = 552300

Properties of LCM 1050 and 1052

(i) The LCM of 1052 and 1050 is associative

LCM of 1050 and 1052 = LCM of 1052 and 1050

Related Least Common Multiples of 1050

Related Least Common Multiples of 1052

Frequently Asked Questions on LCM of 1050 and 1052

1. What is the LCM of 1050 and 1052?

Answer: LCM of 1050 and 1052 is 552300.

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 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 1050 and 1052?

Answer:

Least Common Multiple of 1050 and 1052 = 552300

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 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 = 552300 = 2 x 2 x 3 x 5 x 5 x 7 x 263

Step 4: Therefore, the least common multiple of 1050 and 1052 is 552300.