Least Common Multiple of 6148 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 6148 and 6150 the smallest integer that is 18905100 that is divisible by both numbers.

Least Common Multiple (LCM) of 6148 and 6150 is 18905100.

LCM(6148,6150) = 18905100

LCM of 6148 and 6150

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

LCM of:
and

Least Common Multiple of 6148 and 6150

LCM of 6148 and 6150 is 18905100

Least common multiple can be found by multiplying the highest exponent prime factors of 6148 and 6150. First we will calculate the prime factors of 6148 and 6150.

Prime Factorization of 6148


2 6148
2 3074
29 1537
53 53
1

Prime factors of 6148 are 2, 29,53. Prime factorization of 6148 in exponential form is:

6148 = 22×291×531

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 6148 and 6150.

LCM(6148,6150) = 22×31×52×291×411×531
LCM(6148,6150) = 18905100

Factors of 6148

List of positive integer factors of 6148 that divides 6148 without a remainder.

1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148

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 6148 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 6148 and 6150, than apply into the LCM equation.

GCF(6148,6150) = 2
LCM(6148,6150) = ( 6148 × 6150) / 2
LCM(6148,6150) = 37810200 / 2
LCM(6148,6150) = 18905100

Properties of LCM 6148 and 6150

(i) The LCM of 6150 and 6148 is associative

LCM of 6148 and 6150 = LCM of 6150 and 6148

Related Least Common Multiples of 6148

Related Least Common Multiples of 6150

Frequently Asked Questions on LCM of 6148 and 6150

1. What is the LCM of 6148 and 6150?

Answer: LCM of 6148 and 6150 is 18905100.

2. What are the Factors of 6148?

Answer: Factors of 6148 are 1, 2, 4, 29, 53, 58, 106, 116, 212, 1537, 3074, 6148. There are 12 integers that are factors of 6148. The greatest factor of 6148 is 6148.

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 6148 and 6150?

Answer:

Least Common Multiple of 6148 and 6150 = 18905100

Step 1: Find the prime factorization of 6148

6148 = 2 x 2 x 29 x 53

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 = 18905100 = 2 x 2 x 3 x 5 x 5 x 29 x 41 x 53

Step 4: Therefore, the least common multiple of 6148 and 6150 is 18905100.