Least Common Multiple of 6048 and 6056

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 6056 the smallest integer that is 4578336 that is divisible by both numbers.

Least Common Multiple (LCM) of 6048 and 6056 is 4578336.

LCM(6048,6056) = 4578336

LCM of 6048 and 6056

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

LCM of:
and

Least Common Multiple of 6048 and 6056

LCM of 6048 and 6056 is 4578336

Least common multiple can be found by multiplying the highest exponent prime factors of 6048 and 6056. First we will calculate the prime factors of 6048 and 6056.

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 6056


2 6056
2 3028
2 1514
757 757
1

Prime factors of 6056 are 2,757. Prime factorization of 6056 in exponential form is:

6056 = 23×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 6048 and 6056.

LCM(6048,6056) = 25×33×71×7571
LCM(6048,6056) = 4578336

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 6056

List of positive integer factors of 6056 that divides 6056 without a remainder.

1, 2, 4, 8, 757, 1514, 3028, 6056

Least Common Multiple of 6048 and 6056 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 6056, than apply into the LCM equation.

GCF(6048,6056) = 8
LCM(6048,6056) = ( 6048 × 6056) / 8
LCM(6048,6056) = 36626688 / 8
LCM(6048,6056) = 4578336

Properties of LCM 6048 and 6056

(i) The LCM of 6056 and 6048 is associative

LCM of 6048 and 6056 = LCM of 6056 and 6048

Related Least Common Multiples of 6048

Related Least Common Multiples of 6056

Frequently Asked Questions on LCM of 6048 and 6056

1. What is the LCM of 6048 and 6056?

Answer: LCM of 6048 and 6056 is 4578336.

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 6056?

Answer: Factors of 6056 are 1, 2, 4, 8, 757, 1514, 3028, 6056. There are 8 integers that are factors of 6056. The greatest factor of 6056 is 6056.

4. How to Find the LCM of 6048 and 6056?

Answer:

Least Common Multiple of 6048 and 6056 = 4578336

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 6056

6056 = 2 x 2 x 2 x 757

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

LCM = 4578336 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 757

Step 4: Therefore, the least common multiple of 6048 and 6056 is 4578336.