Least Common Multiple of 7050 and 7057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7050 and 7057 the smallest integer that is 49751850 that is divisible by both numbers.

Least Common Multiple (LCM) of 7050 and 7057 is 49751850.

LCM(7050,7057) = 49751850

LCM of 7050 and 7057

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

LCM of:
and

Least Common Multiple of 7050 and 7057

LCM of 7050 and 7057 is 49751850

Least common multiple can be found by multiplying the highest exponent prime factors of 7050 and 7057. First we will calculate the prime factors of 7050 and 7057.

Prime Factorization of 7050


2 7050
3 3525
5 1175
5 235
47 47
1

Prime factors of 7050 are 2, 3, 5,47. Prime factorization of 7050 in exponential form is:

7050 = 21×31×52×471

Prime Factorization of 7057


7057 7057
1

Prime factors of 7057 are 7057. Prime factorization of 7057 in exponential form is:

7057 = 70571

Now multiplying the highest exponent prime factors to calculate the LCM of 7050 and 7057.

LCM(7050,7057) = 21×31×52×471×70571
LCM(7050,7057) = 49751850

Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050

Factors of 7057

List of positive integer factors of 7057 that divides 7057 without a remainder.

1, 7057

Least Common Multiple of 7050 and 7057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7050 and 7057, than apply into the LCM equation.

GCF(7050,7057) = 1
LCM(7050,7057) = ( 7050 × 7057) / 1
LCM(7050,7057) = 49751850 / 1
LCM(7050,7057) = 49751850

Properties of LCM 7050 and 7057

(i) The LCM of 7057 and 7050 is associative

LCM of 7050 and 7057 = LCM of 7057 and 7050

Related Least Common Multiples of 7050

Related Least Common Multiples of 7057

Frequently Asked Questions on LCM of 7050 and 7057

1. What is the LCM of 7050 and 7057?

Answer: LCM of 7050 and 7057 is 49751850.

2. What are the Factors of 7050?

Answer: Factors of 7050 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 47, 50, 75, 94, 141, 150, 235, 282, 470, 705, 1175, 1410, 2350, 3525, 7050. There are 24 integers that are factors of 7050. The greatest factor of 7050 is 7050.

3. What are the Factors of 7057?

Answer: Factors of 7057 are 1, 7057. There are 2 integers that are factors of 7057. The greatest factor of 7057 is 7057.

4. How to Find the LCM of 7050 and 7057?

Answer:

Least Common Multiple of 7050 and 7057 = 49751850

Step 1: Find the prime factorization of 7050

7050 = 2 x 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 7057

7057 = 7057

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

LCM = 49751850 = 2 x 3 x 5 x 5 x 47 x 7057

Step 4: Therefore, the least common multiple of 7050 and 7057 is 49751850.