Least Common Multiple of 6048 and 6055

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 6055 the smallest integer that is 5231520 that is divisible by both numbers.

Least Common Multiple (LCM) of 6048 and 6055 is 5231520.

LCM(6048,6055) = 5231520

LCM of 6048 and 6055

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

LCM of:
and

Least Common Multiple of 6048 and 6055

LCM of 6048 and 6055 is 5231520

Least common multiple can be found by multiplying the highest exponent prime factors of 6048 and 6055. First we will calculate the prime factors of 6048 and 6055.

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 6055


5 6055
7 1211
173 173
1

Prime factors of 6055 are 5, 7,173. Prime factorization of 6055 in exponential form is:

6055 = 51×71×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6048 and 6055.

LCM(6048,6055) = 25×33×51×71×1731
LCM(6048,6055) = 5231520

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 6055

List of positive integer factors of 6055 that divides 6055 without a remainder.

1, 5, 7, 35, 173, 865, 1211, 6055

Least Common Multiple of 6048 and 6055 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 6055, than apply into the LCM equation.

GCF(6048,6055) = 7
LCM(6048,6055) = ( 6048 × 6055) / 7
LCM(6048,6055) = 36620640 / 7
LCM(6048,6055) = 5231520

Properties of LCM 6048 and 6055

(i) The LCM of 6055 and 6048 is associative

LCM of 6048 and 6055 = LCM of 6055 and 6048

Related Least Common Multiples of 6048

Related Least Common Multiples of 6055

Frequently Asked Questions on LCM of 6048 and 6055

1. What is the LCM of 6048 and 6055?

Answer: LCM of 6048 and 6055 is 5231520.

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 6055?

Answer: Factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055. There are 8 integers that are factors of 6055. The greatest factor of 6055 is 6055.

4. How to Find the LCM of 6048 and 6055?

Answer:

Least Common Multiple of 6048 and 6055 = 5231520

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 6055

6055 = 5 x 7 x 173

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

LCM = 5231520 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 173

Step 4: Therefore, the least common multiple of 6048 and 6055 is 5231520.