Least Common Multiple of 6144 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 6144 and 6148 the smallest integer that is 9443328 that is divisible by both numbers.

Least Common Multiple (LCM) of 6144 and 6148 is 9443328.

LCM(6144,6148) = 9443328

LCM of 6144 and 6148

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

LCM of:
and

Least Common Multiple of 6144 and 6148

LCM of 6144 and 6148 is 9443328

Least common multiple can be found by multiplying the highest exponent prime factors of 6144 and 6148. First we will calculate the prime factors of 6144 and 6148.

Prime Factorization of 6144


2 6144
2 3072
2 1536
2 768
2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 6144 are 2,3. Prime factorization of 6144 in exponential form is:

6144 = 211×31

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 6144 and 6148.

LCM(6144,6148) = 211×31×291×531
LCM(6144,6148) = 9443328

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144

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 6144 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 6144 and 6148, than apply into the LCM equation.

GCF(6144,6148) = 4
LCM(6144,6148) = ( 6144 × 6148) / 4
LCM(6144,6148) = 37773312 / 4
LCM(6144,6148) = 9443328

Properties of LCM 6144 and 6148

(i) The LCM of 6148 and 6144 is associative

LCM of 6144 and 6148 = LCM of 6148 and 6144

Related Least Common Multiples of 6144

Related Least Common Multiples of 6148

Frequently Asked Questions on LCM of 6144 and 6148

1. What is the LCM of 6144 and 6148?

Answer: LCM of 6144 and 6148 is 9443328.

2. What are the Factors of 6144?

Answer: Factors of 6144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 6144. There are 24 integers that are factors of 6144. The greatest factor of 6144 is 6144.

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 6144 and 6148?

Answer:

Least Common Multiple of 6144 and 6148 = 9443328

Step 1: Find the prime factorization of 6144

6144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 = 9443328 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 53

Step 4: Therefore, the least common multiple of 6144 and 6148 is 9443328.