Least Common Multiple of 6048 and 6052

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 6052 the smallest integer that is 9150624 that is divisible by both numbers.

Least Common Multiple (LCM) of 6048 and 6052 is 9150624.

LCM(6048,6052) = 9150624

LCM of 6048 and 6052

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

LCM of:
and

Least Common Multiple of 6048 and 6052

LCM of 6048 and 6052 is 9150624

Least common multiple can be found by multiplying the highest exponent prime factors of 6048 and 6052. First we will calculate the prime factors of 6048 and 6052.

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 6052


2 6052
2 3026
17 1513
89 89
1

Prime factors of 6052 are 2, 17,89. Prime factorization of 6052 in exponential form is:

6052 = 22×171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6048 and 6052.

LCM(6048,6052) = 25×33×71×171×891
LCM(6048,6052) = 9150624

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 6052

List of positive integer factors of 6052 that divides 6052 without a remainder.

1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052

Least Common Multiple of 6048 and 6052 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 6052, than apply into the LCM equation.

GCF(6048,6052) = 4
LCM(6048,6052) = ( 6048 × 6052) / 4
LCM(6048,6052) = 36602496 / 4
LCM(6048,6052) = 9150624

Properties of LCM 6048 and 6052

(i) The LCM of 6052 and 6048 is associative

LCM of 6048 and 6052 = LCM of 6052 and 6048

Related Least Common Multiples of 6048

Related Least Common Multiples of 6052

Frequently Asked Questions on LCM of 6048 and 6052

1. What is the LCM of 6048 and 6052?

Answer: LCM of 6048 and 6052 is 9150624.

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 6052?

Answer: Factors of 6052 are 1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026, 6052. There are 12 integers that are factors of 6052. The greatest factor of 6052 is 6052.

4. How to Find the LCM of 6048 and 6052?

Answer:

Least Common Multiple of 6048 and 6052 = 9150624

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 6052

6052 = 2 x 2 x 17 x 89

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

LCM = 9150624 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 17 x 89

Step 4: Therefore, the least common multiple of 6048 and 6052 is 9150624.