Least Common Multiple of 6144 and 6146

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 6146 the smallest integer that is 18880512 that is divisible by both numbers.

Least Common Multiple (LCM) of 6144 and 6146 is 18880512.

LCM(6144,6146) = 18880512

LCM of 6144 and 6146

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

LCM of:
and

Least Common Multiple of 6144 and 6146

LCM of 6144 and 6146 is 18880512

Least common multiple can be found by multiplying the highest exponent prime factors of 6144 and 6146. First we will calculate the prime factors of 6144 and 6146.

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 6146


2 6146
7 3073
439 439
1

Prime factors of 6146 are 2, 7,439. Prime factorization of 6146 in exponential form is:

6146 = 21×71×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 6144 and 6146.

LCM(6144,6146) = 211×31×71×4391
LCM(6144,6146) = 18880512

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 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1, 2, 7, 14, 439, 878, 3073, 6146

Least Common Multiple of 6144 and 6146 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 6146, than apply into the LCM equation.

GCF(6144,6146) = 2
LCM(6144,6146) = ( 6144 × 6146) / 2
LCM(6144,6146) = 37761024 / 2
LCM(6144,6146) = 18880512

Properties of LCM 6144 and 6146

(i) The LCM of 6146 and 6144 is associative

LCM of 6144 and 6146 = LCM of 6146 and 6144

Related Least Common Multiples of 6144

Related Least Common Multiples of 6146

Frequently Asked Questions on LCM of 6144 and 6146

1. What is the LCM of 6144 and 6146?

Answer: LCM of 6144 and 6146 is 18880512.

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 6146?

Answer: Factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146. There are 8 integers that are factors of 6146. The greatest factor of 6146 is 6146.

4. How to Find the LCM of 6144 and 6146?

Answer:

Least Common Multiple of 6144 and 6146 = 18880512

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 6146

6146 = 2 x 7 x 439

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

LCM = 18880512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 439

Step 4: Therefore, the least common multiple of 6144 and 6146 is 18880512.