Least Common Multiple of 6045 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 6045 and 6050 the smallest integer that is 7314450 that is divisible by both numbers.

Least Common Multiple (LCM) of 6045 and 6050 is 7314450.

LCM(6045,6050) = 7314450

LCM of 6045 and 6050

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

LCM of:
and

Least Common Multiple of 6045 and 6050

LCM of 6045 and 6050 is 7314450

Least common multiple can be found by multiplying the highest exponent prime factors of 6045 and 6050. First we will calculate the prime factors of 6045 and 6050.

Prime Factorization of 6045


3 6045
5 2015
13 403
31 31
1

Prime factors of 6045 are 3, 5, 13,31. Prime factorization of 6045 in exponential form is:

6045 = 31×51×131×311

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 6045 and 6050.

LCM(6045,6050) = 21×31×52×112×131×311
LCM(6045,6050) = 7314450

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045

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 6045 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 6045 and 6050, than apply into the LCM equation.

GCF(6045,6050) = 5
LCM(6045,6050) = ( 6045 × 6050) / 5
LCM(6045,6050) = 36572250 / 5
LCM(6045,6050) = 7314450

Properties of LCM 6045 and 6050

(i) The LCM of 6050 and 6045 is associative

LCM of 6045 and 6050 = LCM of 6050 and 6045

Related Least Common Multiples of 6045

Related Least Common Multiples of 6050

Frequently Asked Questions on LCM of 6045 and 6050

1. What is the LCM of 6045 and 6050?

Answer: LCM of 6045 and 6050 is 7314450.

2. What are the Factors of 6045?

Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.

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 6045 and 6050?

Answer:

Least Common Multiple of 6045 and 6050 = 7314450

Step 1: Find the prime factorization of 6045

6045 = 3 x 5 x 13 x 31

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 = 7314450 = 2 x 3 x 5 x 5 x 11 x 11 x 13 x 31

Step 4: Therefore, the least common multiple of 6045 and 6050 is 7314450.