Least Common Multiple of 6145 and 6150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6145 and 6150 the smallest integer that is 7558350 that is divisible by both numbers.

Least Common Multiple (LCM) of 6145 and 6150 is 7558350.

LCM(6145,6150) = 7558350

LCM of 6145 and 6150

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

LCM of:
and

Least Common Multiple of 6145 and 6150

LCM of 6145 and 6150 is 7558350

Least common multiple can be found by multiplying the highest exponent prime factors of 6145 and 6150. First we will calculate the prime factors of 6145 and 6150.

Prime Factorization of 6145


5 6145
1229 1229
1

Prime factors of 6145 are 5,1229. Prime factorization of 6145 in exponential form is:

6145 = 51×12291

Prime Factorization of 6150


2 6150
3 3075
5 1025
5 205
41 41
1

Prime factors of 6150 are 2, 3, 5,41. Prime factorization of 6150 in exponential form is:

6150 = 21×31×52×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6145 and 6150.

LCM(6145,6150) = 21×31×52×411×12291
LCM(6145,6150) = 7558350

Factors of 6145

List of positive integer factors of 6145 that divides 6145 without a remainder.

1, 5, 1229, 6145

Factors of 6150

List of positive integer factors of 6150 that divides 6150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150

Least Common Multiple of 6145 and 6150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6145 and 6150, than apply into the LCM equation.

GCF(6145,6150) = 5
LCM(6145,6150) = ( 6145 × 6150) / 5
LCM(6145,6150) = 37791750 / 5
LCM(6145,6150) = 7558350

Properties of LCM 6145 and 6150

(i) The LCM of 6150 and 6145 is associative

LCM of 6145 and 6150 = LCM of 6150 and 6145

Related Least Common Multiples of 6145

Related Least Common Multiples of 6150

Frequently Asked Questions on LCM of 6145 and 6150

1. What is the LCM of 6145 and 6150?

Answer: LCM of 6145 and 6150 is 7558350.

2. What are the Factors of 6145?

Answer: Factors of 6145 are 1, 5, 1229, 6145. There are 4 integers that are factors of 6145. The greatest factor of 6145 is 6145.

3. What are the Factors of 6150?

Answer: Factors of 6150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075, 6150. There are 24 integers that are factors of 6150. The greatest factor of 6150 is 6150.

4. How to Find the LCM of 6145 and 6150?

Answer:

Least Common Multiple of 6145 and 6150 = 7558350

Step 1: Find the prime factorization of 6145

6145 = 5 x 1229

Step 2: Find the prime factorization of 6150

6150 = 2 x 3 x 5 x 5 x 41

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

LCM = 7558350 = 2 x 3 x 5 x 5 x 41 x 1229

Step 4: Therefore, the least common multiple of 6145 and 6150 is 7558350.