Least Common Multiple of 1050 and 1054

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 1054 the smallest integer that is 553350 that is divisible by both numbers.

Least Common Multiple (LCM) of 1050 and 1054 is 553350.

LCM(1050,1054) = 553350

LCM of 1050 and 1054

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

LCM of:
and

Least Common Multiple of 1050 and 1054

LCM of 1050 and 1054 is 553350

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1054. First we will calculate the prime factors of 1050 and 1054.

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 1054


2 1054
17 527
31 31
1

Prime factors of 1054 are 2, 17,31. Prime factorization of 1054 in exponential form is:

1054 = 21×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1050 and 1054.

LCM(1050,1054) = 21×31×52×71×171×311
LCM(1050,1054) = 553350

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 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1, 2, 17, 31, 34, 62, 527, 1054

Least Common Multiple of 1050 and 1054 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 1054, than apply into the LCM equation.

GCF(1050,1054) = 2
LCM(1050,1054) = ( 1050 × 1054) / 2
LCM(1050,1054) = 1106700 / 2
LCM(1050,1054) = 553350

Properties of LCM 1050 and 1054

(i) The LCM of 1054 and 1050 is associative

LCM of 1050 and 1054 = LCM of 1054 and 1050

Related Least Common Multiples of 1050

Related Least Common Multiples of 1054

Frequently Asked Questions on LCM of 1050 and 1054

1. What is the LCM of 1050 and 1054?

Answer: LCM of 1050 and 1054 is 553350.

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 1054?

Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.

4. How to Find the LCM of 1050 and 1054?

Answer:

Least Common Multiple of 1050 and 1054 = 553350

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 1054

1054 = 2 x 17 x 31

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

LCM = 553350 = 2 x 3 x 5 x 5 x 7 x 17 x 31

Step 4: Therefore, the least common multiple of 1050 and 1054 is 553350.