Least Common Multiple of 6144 and 6145

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 6145 the smallest integer that is 37754880 that is divisible by both numbers.

Least Common Multiple (LCM) of 6144 and 6145 is 37754880.

LCM(6144,6145) = 37754880

LCM of 6144 and 6145

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

LCM of:
and

Least Common Multiple of 6144 and 6145

LCM of 6144 and 6145 is 37754880

Least common multiple can be found by multiplying the highest exponent prime factors of 6144 and 6145. First we will calculate the prime factors of 6144 and 6145.

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 6145


5 6145
1229 1229
1

Prime factors of 6145 are 5,1229. Prime factorization of 6145 in exponential form is:

6145 = 51×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 6144 and 6145.

LCM(6144,6145) = 211×31×51×12291
LCM(6144,6145) = 37754880

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 6145

List of positive integer factors of 6145 that divides 6145 without a remainder.

1, 5, 1229, 6145

Least Common Multiple of 6144 and 6145 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 6145, than apply into the LCM equation.

GCF(6144,6145) = 1
LCM(6144,6145) = ( 6144 × 6145) / 1
LCM(6144,6145) = 37754880 / 1
LCM(6144,6145) = 37754880

Properties of LCM 6144 and 6145

(i) The LCM of 6145 and 6144 is associative

LCM of 6144 and 6145 = LCM of 6145 and 6144

Related Least Common Multiples of 6144

Related Least Common Multiples of 6145

Frequently Asked Questions on LCM of 6144 and 6145

1. What is the LCM of 6144 and 6145?

Answer: LCM of 6144 and 6145 is 37754880.

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 6145?

Answer: Factors of 6145 are 1, 5, 1229, 6145. There are 4 integers that are factors of 6145. The greatest factor of 6145 is 6145.

4. How to Find the LCM of 6144 and 6145?

Answer:

Least Common Multiple of 6144 and 6145 = 37754880

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 6145

6145 = 5 x 1229

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

LCM = 37754880 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 1229

Step 4: Therefore, the least common multiple of 6144 and 6145 is 37754880.