Least Common Multiple of 6041 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 6041 and 6048 the smallest integer that is 5219424 that is divisible by both numbers.

Least Common Multiple (LCM) of 6041 and 6048 is 5219424.

LCM(6041,6048) = 5219424

LCM of 6041 and 6048

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

LCM of:
and

Least Common Multiple of 6041 and 6048

LCM of 6041 and 6048 is 5219424

Least common multiple can be found by multiplying the highest exponent prime factors of 6041 and 6048. First we will calculate the prime factors of 6041 and 6048.

Prime Factorization of 6041


7 6041
863 863
1

Prime factors of 6041 are 7,863. Prime factorization of 6041 in exponential form is:

6041 = 71×8631

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 6041 and 6048.

LCM(6041,6048) = 25×33×71×8631
LCM(6041,6048) = 5219424

Factors of 6041

List of positive integer factors of 6041 that divides 6041 without a remainder.

1, 7, 863, 6041

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 6041 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 6041 and 6048, than apply into the LCM equation.

GCF(6041,6048) = 7
LCM(6041,6048) = ( 6041 × 6048) / 7
LCM(6041,6048) = 36535968 / 7
LCM(6041,6048) = 5219424

Properties of LCM 6041 and 6048

(i) The LCM of 6048 and 6041 is associative

LCM of 6041 and 6048 = LCM of 6048 and 6041

Related Least Common Multiples of 6041

Related Least Common Multiples of 6048

Frequently Asked Questions on LCM of 6041 and 6048

1. What is the LCM of 6041 and 6048?

Answer: LCM of 6041 and 6048 is 5219424.

2. What are the Factors of 6041?

Answer: Factors of 6041 are 1, 7, 863, 6041. There are 4 integers that are factors of 6041. The greatest factor of 6041 is 6041.

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 6041 and 6048?

Answer:

Least Common Multiple of 6041 and 6048 = 5219424

Step 1: Find the prime factorization of 6041

6041 = 7 x 863

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 = 5219424 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 863

Step 4: Therefore, the least common multiple of 6041 and 6048 is 5219424.