Least Common Multiple of 6043 and 6050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6043 and 6050 the smallest integer that is 36560150 that is divisible by both numbers.

Least Common Multiple (LCM) of 6043 and 6050 is 36560150.

LCM(6043,6050) = 36560150

LCM of 6043 and 6050

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

LCM of:
and

Least Common Multiple of 6043 and 6050

LCM of 6043 and 6050 is 36560150

Least common multiple can be found by multiplying the highest exponent prime factors of 6043 and 6050. First we will calculate the prime factors of 6043 and 6050.

Prime Factorization of 6043


6043 6043
1

Prime factors of 6043 are 6043. Prime factorization of 6043 in exponential form is:

6043 = 60431

Prime Factorization of 6050


2 6050
5 3025
5 605
11 121
11 11
1

Prime factors of 6050 are 2, 5,11. Prime factorization of 6050 in exponential form is:

6050 = 21×52×112

Now multiplying the highest exponent prime factors to calculate the LCM of 6043 and 6050.

LCM(6043,6050) = 21×52×112×60431
LCM(6043,6050) = 36560150

Factors of 6043

List of positive integer factors of 6043 that divides 6043 without a remainder.

1, 6043

Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050

Least Common Multiple of 6043 and 6050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6043 and 6050, than apply into the LCM equation.

GCF(6043,6050) = 1
LCM(6043,6050) = ( 6043 × 6050) / 1
LCM(6043,6050) = 36560150 / 1
LCM(6043,6050) = 36560150

Properties of LCM 6043 and 6050

(i) The LCM of 6050 and 6043 is associative

LCM of 6043 and 6050 = LCM of 6050 and 6043

Related Least Common Multiples of 6043

Related Least Common Multiples of 6050

Frequently Asked Questions on LCM of 6043 and 6050

1. What is the LCM of 6043 and 6050?

Answer: LCM of 6043 and 6050 is 36560150.

2. What are the Factors of 6043?

Answer: Factors of 6043 are 1, 6043. There are 2 integers that are factors of 6043. The greatest factor of 6043 is 6043.

3. What are the Factors of 6050?

Answer: Factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050. There are 18 integers that are factors of 6050. The greatest factor of 6050 is 6050.

4. How to Find the LCM of 6043 and 6050?

Answer:

Least Common Multiple of 6043 and 6050 = 36560150

Step 1: Find the prime factorization of 6043

6043 = 6043

Step 2: Find the prime factorization of 6050

6050 = 2 x 5 x 5 x 11 x 11

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

LCM = 36560150 = 2 x 5 x 5 x 11 x 11 x 6043

Step 4: Therefore, the least common multiple of 6043 and 6050 is 36560150.