Least Common Multiple of 6048 and 6053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6048 and 6053 the smallest integer that is 36608544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6048 and 6053 is 36608544.

LCM(6048,6053) = 36608544

LCM of 6048 and 6053

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

LCM of:
and

Least Common Multiple of 6048 and 6053

LCM of 6048 and 6053 is 36608544

Least common multiple can be found by multiplying the highest exponent prime factors of 6048 and 6053. First we will calculate the prime factors of 6048 and 6053.

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

Prime Factorization of 6053


6053 6053
1

Prime factors of 6053 are 6053. Prime factorization of 6053 in exponential form is:

6053 = 60531

Now multiplying the highest exponent prime factors to calculate the LCM of 6048 and 6053.

LCM(6048,6053) = 25×33×71×60531
LCM(6048,6053) = 36608544

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

Factors of 6053

List of positive integer factors of 6053 that divides 6053 without a remainder.

1, 6053

Least Common Multiple of 6048 and 6053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6048 and 6053, than apply into the LCM equation.

GCF(6048,6053) = 1
LCM(6048,6053) = ( 6048 × 6053) / 1
LCM(6048,6053) = 36608544 / 1
LCM(6048,6053) = 36608544

Properties of LCM 6048 and 6053

(i) The LCM of 6053 and 6048 is associative

LCM of 6048 and 6053 = LCM of 6053 and 6048

Related Least Common Multiples of 6048

Related Least Common Multiples of 6053

Frequently Asked Questions on LCM of 6048 and 6053

1. What is the LCM of 6048 and 6053?

Answer: LCM of 6048 and 6053 is 36608544.

2. 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.

3. What are the Factors of 6053?

Answer: Factors of 6053 are 1, 6053. There are 2 integers that are factors of 6053. The greatest factor of 6053 is 6053.

4. How to Find the LCM of 6048 and 6053?

Answer:

Least Common Multiple of 6048 and 6053 = 36608544

Step 1: 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 2: Find the prime factorization of 6053

6053 = 6053

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

LCM = 36608544 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 6053

Step 4: Therefore, the least common multiple of 6048 and 6053 is 36608544.