Least Common Multiple of 1050 and 1056

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 1056 the smallest integer that is 184800 that is divisible by both numbers.

Least Common Multiple (LCM) of 1050 and 1056 is 184800.

LCM(1050,1056) = 184800

LCM of 1050 and 1056

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

LCM of:
and

Least Common Multiple of 1050 and 1056

LCM of 1050 and 1056 is 184800

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1056. First we will calculate the prime factors of 1050 and 1056.

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 1056


2 1056
2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 1056 are 2, 3,11. Prime factorization of 1056 in exponential form is:

1056 = 25×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1050 and 1056.

LCM(1050,1056) = 25×31×52×71×111
LCM(1050,1056) = 184800

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 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056

Least Common Multiple of 1050 and 1056 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 1056, than apply into the LCM equation.

GCF(1050,1056) = 6
LCM(1050,1056) = ( 1050 × 1056) / 6
LCM(1050,1056) = 1108800 / 6
LCM(1050,1056) = 184800

Properties of LCM 1050 and 1056

(i) The LCM of 1056 and 1050 is associative

LCM of 1050 and 1056 = LCM of 1056 and 1050

Related Least Common Multiples of 1050

Related Least Common Multiples of 1056

Frequently Asked Questions on LCM of 1050 and 1056

1. What is the LCM of 1050 and 1056?

Answer: LCM of 1050 and 1056 is 184800.

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 1056?

Answer: Factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. There are 24 integers that are factors of 1056. The greatest factor of 1056 is 1056.

4. How to Find the LCM of 1050 and 1056?

Answer:

Least Common Multiple of 1050 and 1056 = 184800

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 1056

1056 = 2 x 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 184800 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 1050 and 1056 is 184800.