Least Common Multiple of 6050 and 6055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6050 and 6055 the smallest integer that is 7326550 that is divisible by both numbers.

Least Common Multiple (LCM) of 6050 and 6055 is 7326550.

LCM(6050,6055) = 7326550

LCM of 6050 and 6055

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

LCM of:
and

Least Common Multiple of 6050 and 6055

LCM of 6050 and 6055 is 7326550

Least common multiple can be found by multiplying the highest exponent prime factors of 6050 and 6055. First we will calculate the prime factors of 6050 and 6055.

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

Prime Factorization of 6055


5 6055
7 1211
173 173
1

Prime factors of 6055 are 5, 7,173. Prime factorization of 6055 in exponential form is:

6055 = 51×71×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6050 and 6055.

LCM(6050,6055) = 21×52×71×112×1731
LCM(6050,6055) = 7326550

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

Factors of 6055

List of positive integer factors of 6055 that divides 6055 without a remainder.

1, 5, 7, 35, 173, 865, 1211, 6055

Least Common Multiple of 6050 and 6055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6050 and 6055, than apply into the LCM equation.

GCF(6050,6055) = 5
LCM(6050,6055) = ( 6050 × 6055) / 5
LCM(6050,6055) = 36632750 / 5
LCM(6050,6055) = 7326550

Properties of LCM 6050 and 6055

(i) The LCM of 6055 and 6050 is associative

LCM of 6050 and 6055 = LCM of 6055 and 6050

Related Least Common Multiples of 6050

Related Least Common Multiples of 6055

Frequently Asked Questions on LCM of 6050 and 6055

1. What is the LCM of 6050 and 6055?

Answer: LCM of 6050 and 6055 is 7326550.

2. 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.

3. What are the Factors of 6055?

Answer: Factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055. There are 8 integers that are factors of 6055. The greatest factor of 6055 is 6055.

4. How to Find the LCM of 6050 and 6055?

Answer:

Least Common Multiple of 6050 and 6055 = 7326550

Step 1: Find the prime factorization of 6050

6050 = 2 x 5 x 5 x 11 x 11

Step 2: Find the prime factorization of 6055

6055 = 5 x 7 x 173

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

LCM = 7326550 = 2 x 5 x 5 x 7 x 11 x 11 x 173

Step 4: Therefore, the least common multiple of 6050 and 6055 is 7326550.