Least Common Multiple of 6150 and 6158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6150 and 6158 the smallest integer that is 18935850 that is divisible by both numbers.

Least Common Multiple (LCM) of 6150 and 6158 is 18935850.

LCM(6150,6158) = 18935850

LCM of 6150 and 6158

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

LCM of:
and

Least Common Multiple of 6150 and 6158

LCM of 6150 and 6158 is 18935850

Least common multiple can be found by multiplying the highest exponent prime factors of 6150 and 6158. First we will calculate the prime factors of 6150 and 6158.

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

Prime Factorization of 6158


2 6158
3079 3079
1

Prime factors of 6158 are 2,3079. Prime factorization of 6158 in exponential form is:

6158 = 21×30791

Now multiplying the highest exponent prime factors to calculate the LCM of 6150 and 6158.

LCM(6150,6158) = 21×31×52×411×30791
LCM(6150,6158) = 18935850

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

Factors of 6158

List of positive integer factors of 6158 that divides 6158 without a remainder.

1, 2, 3079, 6158

Least Common Multiple of 6150 and 6158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6150 and 6158, than apply into the LCM equation.

GCF(6150,6158) = 2
LCM(6150,6158) = ( 6150 × 6158) / 2
LCM(6150,6158) = 37871700 / 2
LCM(6150,6158) = 18935850

Properties of LCM 6150 and 6158

(i) The LCM of 6158 and 6150 is associative

LCM of 6150 and 6158 = LCM of 6158 and 6150

Related Least Common Multiples of 6150

Related Least Common Multiples of 6158

Frequently Asked Questions on LCM of 6150 and 6158

1. What is the LCM of 6150 and 6158?

Answer: LCM of 6150 and 6158 is 18935850.

2. 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.

3. What are the Factors of 6158?

Answer: Factors of 6158 are 1, 2, 3079, 6158. There are 4 integers that are factors of 6158. The greatest factor of 6158 is 6158.

4. How to Find the LCM of 6150 and 6158?

Answer:

Least Common Multiple of 6150 and 6158 = 18935850

Step 1: Find the prime factorization of 6150

6150 = 2 x 3 x 5 x 5 x 41

Step 2: Find the prime factorization of 6158

6158 = 2 x 3079

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

LCM = 18935850 = 2 x 3 x 5 x 5 x 41 x 3079

Step 4: Therefore, the least common multiple of 6150 and 6158 is 18935850.