Least Common Multiple of 1050 and 1058

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 1058 the smallest integer that is 555450 that is divisible by both numbers.

Least Common Multiple (LCM) of 1050 and 1058 is 555450.

LCM(1050,1058) = 555450

LCM of 1050 and 1058

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

LCM of:
and

Least Common Multiple of 1050 and 1058

LCM of 1050 and 1058 is 555450

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1058. First we will calculate the prime factors of 1050 and 1058.

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 1058


2 1058
23 529
23 23
1

Prime factors of 1058 are 2,23. Prime factorization of 1058 in exponential form is:

1058 = 21×232

Now multiplying the highest exponent prime factors to calculate the LCM of 1050 and 1058.

LCM(1050,1058) = 21×31×52×71×232
LCM(1050,1058) = 555450

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 1058

List of positive integer factors of 1058 that divides 1058 without a remainder.

1, 2, 23, 46, 529, 1058

Least Common Multiple of 1050 and 1058 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 1058, than apply into the LCM equation.

GCF(1050,1058) = 2
LCM(1050,1058) = ( 1050 × 1058) / 2
LCM(1050,1058) = 1110900 / 2
LCM(1050,1058) = 555450

Properties of LCM 1050 and 1058

(i) The LCM of 1058 and 1050 is associative

LCM of 1050 and 1058 = LCM of 1058 and 1050

Related Least Common Multiples of 1050

Related Least Common Multiples of 1058

Frequently Asked Questions on LCM of 1050 and 1058

1. What is the LCM of 1050 and 1058?

Answer: LCM of 1050 and 1058 is 555450.

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 1058?

Answer: Factors of 1058 are 1, 2, 23, 46, 529, 1058. There are 6 integers that are factors of 1058. The greatest factor of 1058 is 1058.

4. How to Find the LCM of 1050 and 1058?

Answer:

Least Common Multiple of 1050 and 1058 = 555450

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 1058

1058 = 2 x 23 x 23

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

LCM = 555450 = 2 x 3 x 5 x 5 x 7 x 23 x 23

Step 4: Therefore, the least common multiple of 1050 and 1058 is 555450.