Least Common Multiple of 6140 and 6148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6140 and 6148 the smallest integer that is 9437180 that is divisible by both numbers.

Least Common Multiple (LCM) of 6140 and 6148 is 9437180.

LCM(6140,6148) = 9437180

LCM of 6140 and 6148

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

LCM of:
and

Least Common Multiple of 6140 and 6148

LCM of 6140 and 6148 is 9437180

Least common multiple can be found by multiplying the highest exponent prime factors of 6140 and 6148. First we will calculate the prime factors of 6140 and 6148.

Prime Factorization of 6140


2 6140
2 3070
5 1535
307 307
1

Prime factors of 6140 are 2, 5,307. Prime factorization of 6140 in exponential form is:

6140 = 22×51×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6140 and 6148.

LCM(6140,6148) = 22×51×291×531×3071
LCM(6140,6148) = 9437180

Factors of 6140

List of positive integer factors of 6140 that divides 6140 without a remainder.

1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140

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

Least Common Multiple of 6140 and 6148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6140 and 6148, than apply into the LCM equation.

GCF(6140,6148) = 4
LCM(6140,6148) = ( 6140 × 6148) / 4
LCM(6140,6148) = 37748720 / 4
LCM(6140,6148) = 9437180

Properties of LCM 6140 and 6148

(i) The LCM of 6148 and 6140 is associative

LCM of 6140 and 6148 = LCM of 6148 and 6140

Related Least Common Multiples of 6140

Related Least Common Multiples of 6148

Frequently Asked Questions on LCM of 6140 and 6148

1. What is the LCM of 6140 and 6148?

Answer: LCM of 6140 and 6148 is 9437180.

2. What are the Factors of 6140?

Answer: Factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140. There are 12 integers that are factors of 6140. The greatest factor of 6140 is 6140.

3. 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.

4. How to Find the LCM of 6140 and 6148?

Answer:

Least Common Multiple of 6140 and 6148 = 9437180

Step 1: Find the prime factorization of 6140

6140 = 2 x 2 x 5 x 307

Step 2: Find the prime factorization of 6148

6148 = 2 x 2 x 29 x 53

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

LCM = 9437180 = 2 x 2 x 5 x 29 x 53 x 307

Step 4: Therefore, the least common multiple of 6140 and 6148 is 9437180.