Least Common Multiple of 6149 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 6149 and 6150 the smallest integer that is 37816350 that is divisible by both numbers.

Least Common Multiple (LCM) of 6149 and 6150 is 37816350.

LCM(6149,6150) = 37816350

LCM of 6149 and 6150

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

LCM of:
and

Least Common Multiple of 6149 and 6150

LCM of 6149 and 6150 is 37816350

Least common multiple can be found by multiplying the highest exponent prime factors of 6149 and 6150. First we will calculate the prime factors of 6149 and 6150.

Prime Factorization of 6149


11 6149
13 559
43 43
1

Prime factors of 6149 are 11, 13,43. Prime factorization of 6149 in exponential form is:

6149 = 111×131×431

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 6149 and 6150.

LCM(6149,6150) = 21×31×52×111×131×411×431
LCM(6149,6150) = 37816350

Factors of 6149

List of positive integer factors of 6149 that divides 6149 without a remainder.

1, 11, 13, 43, 143, 473, 559, 6149

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 6149 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 6149 and 6150, than apply into the LCM equation.

GCF(6149,6150) = 1
LCM(6149,6150) = ( 6149 × 6150) / 1
LCM(6149,6150) = 37816350 / 1
LCM(6149,6150) = 37816350

Properties of LCM 6149 and 6150

(i) The LCM of 6150 and 6149 is associative

LCM of 6149 and 6150 = LCM of 6150 and 6149

Related Least Common Multiples of 6149

Related Least Common Multiples of 6150

Frequently Asked Questions on LCM of 6149 and 6150

1. What is the LCM of 6149 and 6150?

Answer: LCM of 6149 and 6150 is 37816350.

2. What are the Factors of 6149?

Answer: Factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149. There are 8 integers that are factors of 6149. The greatest factor of 6149 is 6149.

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 6149 and 6150?

Answer:

Least Common Multiple of 6149 and 6150 = 37816350

Step 1: Find the prime factorization of 6149

6149 = 11 x 13 x 43

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 = 37816350 = 2 x 3 x 5 x 5 x 11 x 13 x 41 x 43

Step 4: Therefore, the least common multiple of 6149 and 6150 is 37816350.