Least Common Multiple of 1050 and 1051

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 1051 the smallest integer that is 1103550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1050 and 1051 is 1103550.

LCM(1050,1051) = 1103550

LCM of 1050 and 1051

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

LCM of:
and

Least Common Multiple of 1050 and 1051

LCM of 1050 and 1051 is 1103550

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1051. First we will calculate the prime factors of 1050 and 1051.

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 1051


1051 1051
1

Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:

1051 = 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 1050 and 1051.

LCM(1050,1051) = 21×31×52×71×10511
LCM(1050,1051) = 1103550

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 1051

List of positive integer factors of 1051 that divides 1051 without a remainder.

1, 1051

Least Common Multiple of 1050 and 1051 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 1051, than apply into the LCM equation.

GCF(1050,1051) = 1
LCM(1050,1051) = ( 1050 × 1051) / 1
LCM(1050,1051) = 1103550 / 1
LCM(1050,1051) = 1103550

Properties of LCM 1050 and 1051

(i) The LCM of 1051 and 1050 is associative

LCM of 1050 and 1051 = LCM of 1051 and 1050

Related Least Common Multiples of 1050

Related Least Common Multiples of 1051

Frequently Asked Questions on LCM of 1050 and 1051

1. What is the LCM of 1050 and 1051?

Answer: LCM of 1050 and 1051 is 1103550.

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 1051?

Answer: Factors of 1051 are 1, 1051. There are 2 integers that are factors of 1051. The greatest factor of 1051 is 1051.

4. How to Find the LCM of 1050 and 1051?

Answer:

Least Common Multiple of 1050 and 1051 = 1103550

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 1051

1051 = 1051

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

LCM = 1103550 = 2 x 3 x 5 x 5 x 7 x 1051

Step 4: Therefore, the least common multiple of 1050 and 1051 is 1103550.