Least Common Multiple of 6043 and 6048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6043 and 6048 the smallest integer that is 36548064 that is divisible by both numbers.

Least Common Multiple (LCM) of 6043 and 6048 is 36548064.

LCM(6043,6048) = 36548064

LCM of 6043 and 6048

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

LCM of:
and

Least Common Multiple of 6043 and 6048

LCM of 6043 and 6048 is 36548064

Least common multiple can be found by multiplying the highest exponent prime factors of 6043 and 6048. First we will calculate the prime factors of 6043 and 6048.

Prime Factorization of 6043


6043 6043
1

Prime factors of 6043 are 6043. Prime factorization of 6043 in exponential form is:

6043 = 60431

Prime Factorization of 6048


2 6048
2 3024
2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 6048 are 2, 3,7. Prime factorization of 6048 in exponential form is:

6048 = 25×33×71

Now multiplying the highest exponent prime factors to calculate the LCM of 6043 and 6048.

LCM(6043,6048) = 25×33×71×60431
LCM(6043,6048) = 36548064

Factors of 6043

List of positive integer factors of 6043 that divides 6043 without a remainder.

1, 6043

Factors of 6048

List of positive integer factors of 6048 that divides 6048 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048

Least Common Multiple of 6043 and 6048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6043 and 6048, than apply into the LCM equation.

GCF(6043,6048) = 1
LCM(6043,6048) = ( 6043 × 6048) / 1
LCM(6043,6048) = 36548064 / 1
LCM(6043,6048) = 36548064

Properties of LCM 6043 and 6048

(i) The LCM of 6048 and 6043 is associative

LCM of 6043 and 6048 = LCM of 6048 and 6043

Related Least Common Multiples of 6043

Related Least Common Multiples of 6048

Frequently Asked Questions on LCM of 6043 and 6048

1. What is the LCM of 6043 and 6048?

Answer: LCM of 6043 and 6048 is 36548064.

2. What are the Factors of 6043?

Answer: Factors of 6043 are 1, 6043. There are 2 integers that are factors of 6043. The greatest factor of 6043 is 6043.

3. What are the Factors of 6048?

Answer: Factors of 6048 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024, 6048. There are 48 integers that are factors of 6048. The greatest factor of 6048 is 6048.

4. How to Find the LCM of 6043 and 6048?

Answer:

Least Common Multiple of 6043 and 6048 = 36548064

Step 1: Find the prime factorization of 6043

6043 = 6043

Step 2: Find the prime factorization of 6048

6048 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7

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

LCM = 36548064 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 6043

Step 4: Therefore, the least common multiple of 6043 and 6048 is 36548064.