Least Common Multiple of 6046 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 6046 and 6048 the smallest integer that is 18283104 that is divisible by both numbers.

Least Common Multiple (LCM) of 6046 and 6048 is 18283104.

LCM(6046,6048) = 18283104

LCM of 6046 and 6048

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

LCM of:
and

Least Common Multiple of 6046 and 6048

LCM of 6046 and 6048 is 18283104

Least common multiple can be found by multiplying the highest exponent prime factors of 6046 and 6048. First we will calculate the prime factors of 6046 and 6048.

Prime Factorization of 6046


2 6046
3023 3023
1

Prime factors of 6046 are 2,3023. Prime factorization of 6046 in exponential form is:

6046 = 21×30231

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 6046 and 6048.

LCM(6046,6048) = 25×33×71×30231
LCM(6046,6048) = 18283104

Factors of 6046

List of positive integer factors of 6046 that divides 6046 without a remainder.

1, 2, 3023, 6046

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 6046 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 6046 and 6048, than apply into the LCM equation.

GCF(6046,6048) = 2
LCM(6046,6048) = ( 6046 × 6048) / 2
LCM(6046,6048) = 36566208 / 2
LCM(6046,6048) = 18283104

Properties of LCM 6046 and 6048

(i) The LCM of 6048 and 6046 is associative

LCM of 6046 and 6048 = LCM of 6048 and 6046

Related Least Common Multiples of 6046

Related Least Common Multiples of 6048

Frequently Asked Questions on LCM of 6046 and 6048

1. What is the LCM of 6046 and 6048?

Answer: LCM of 6046 and 6048 is 18283104.

2. What are the Factors of 6046?

Answer: Factors of 6046 are 1, 2, 3023, 6046. There are 4 integers that are factors of 6046. The greatest factor of 6046 is 6046.

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 6046 and 6048?

Answer:

Least Common Multiple of 6046 and 6048 = 18283104

Step 1: Find the prime factorization of 6046

6046 = 2 x 3023

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 = 18283104 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 3023

Step 4: Therefore, the least common multiple of 6046 and 6048 is 18283104.