Least Common Multiple of 1050 and 1057

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 1057 the smallest integer that is 158550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1050 and 1057 is 158550.

LCM(1050,1057) = 158550

LCM of 1050 and 1057

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

LCM of:
and

Least Common Multiple of 1050 and 1057

LCM of 1050 and 1057 is 158550

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1057. First we will calculate the prime factors of 1050 and 1057.

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 1057


7 1057
151 151
1

Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:

1057 = 71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1050 and 1057.

LCM(1050,1057) = 21×31×52×71×1511
LCM(1050,1057) = 158550

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 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1, 7, 151, 1057

Least Common Multiple of 1050 and 1057 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 1057, than apply into the LCM equation.

GCF(1050,1057) = 7
LCM(1050,1057) = ( 1050 × 1057) / 7
LCM(1050,1057) = 1109850 / 7
LCM(1050,1057) = 158550

Properties of LCM 1050 and 1057

(i) The LCM of 1057 and 1050 is associative

LCM of 1050 and 1057 = LCM of 1057 and 1050

Related Least Common Multiples of 1050

Related Least Common Multiples of 1057

Frequently Asked Questions on LCM of 1050 and 1057

1. What is the LCM of 1050 and 1057?

Answer: LCM of 1050 and 1057 is 158550.

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 1057?

Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.

4. How to Find the LCM of 1050 and 1057?

Answer:

Least Common Multiple of 1050 and 1057 = 158550

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 1057

1057 = 7 x 151

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

LCM = 158550 = 2 x 3 x 5 x 5 x 7 x 151

Step 4: Therefore, the least common multiple of 1050 and 1057 is 158550.