Least Common Multiple of 6040 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 6040 and 6048 the smallest integer that is 4566240 that is divisible by both numbers.

Least Common Multiple (LCM) of 6040 and 6048 is 4566240.

LCM(6040,6048) = 4566240

LCM of 6040 and 6048

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

LCM of:
and

Least Common Multiple of 6040 and 6048

LCM of 6040 and 6048 is 4566240

Least common multiple can be found by multiplying the highest exponent prime factors of 6040 and 6048. First we will calculate the prime factors of 6040 and 6048.

Prime Factorization of 6040


2 6040
2 3020
2 1510
5 755
151 151
1

Prime factors of 6040 are 2, 5,151. Prime factorization of 6040 in exponential form is:

6040 = 23×51×1511

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 6040 and 6048.

LCM(6040,6048) = 25×33×51×71×1511
LCM(6040,6048) = 4566240

Factors of 6040

List of positive integer factors of 6040 that divides 6040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040

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 6040 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 6040 and 6048, than apply into the LCM equation.

GCF(6040,6048) = 8
LCM(6040,6048) = ( 6040 × 6048) / 8
LCM(6040,6048) = 36529920 / 8
LCM(6040,6048) = 4566240

Properties of LCM 6040 and 6048

(i) The LCM of 6048 and 6040 is associative

LCM of 6040 and 6048 = LCM of 6048 and 6040

Related Least Common Multiples of 6040

Related Least Common Multiples of 6048

Frequently Asked Questions on LCM of 6040 and 6048

1. What is the LCM of 6040 and 6048?

Answer: LCM of 6040 and 6048 is 4566240.

2. What are the Factors of 6040?

Answer: Factors of 6040 are 1, 2, 4, 5, 8, 10, 20, 40, 151, 302, 604, 755, 1208, 1510, 3020, 6040. There are 16 integers that are factors of 6040. The greatest factor of 6040 is 6040.

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 6040 and 6048?

Answer:

Least Common Multiple of 6040 and 6048 = 4566240

Step 1: Find the prime factorization of 6040

6040 = 2 x 2 x 2 x 5 x 151

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 = 4566240 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 151

Step 4: Therefore, the least common multiple of 6040 and 6048 is 4566240.