Least Common Multiple of 5046 and 5049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5046 and 5049 the smallest integer that is 8492418 that is divisible by both numbers.

Least Common Multiple (LCM) of 5046 and 5049 is 8492418.

LCM(5046,5049) = 8492418

LCM of 5046 and 5049

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

LCM of:
and

Least Common Multiple of 5046 and 5049

LCM of 5046 and 5049 is 8492418

Least common multiple can be found by multiplying the highest exponent prime factors of 5046 and 5049. First we will calculate the prime factors of 5046 and 5049.

Prime Factorization of 5046


2 5046
3 2523
29 841
29 29
1

Prime factors of 5046 are 2, 3,29. Prime factorization of 5046 in exponential form is:

5046 = 21×31×292

Prime Factorization of 5049


3 5049
3 1683
3 561
11 187
17 17
1

Prime factors of 5049 are 3, 11,17. Prime factorization of 5049 in exponential form is:

5049 = 33×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5046 and 5049.

LCM(5046,5049) = 21×33×111×171×292
LCM(5046,5049) = 8492418

Factors of 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046

Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049

Least Common Multiple of 5046 and 5049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5046 and 5049, than apply into the LCM equation.

GCF(5046,5049) = 3
LCM(5046,5049) = ( 5046 × 5049) / 3
LCM(5046,5049) = 25477254 / 3
LCM(5046,5049) = 8492418

Properties of LCM 5046 and 5049

(i) The LCM of 5049 and 5046 is associative

LCM of 5046 and 5049 = LCM of 5049 and 5046

Related Least Common Multiples of 5046

Related Least Common Multiples of 5049

Frequently Asked Questions on LCM of 5046 and 5049

1. What is the LCM of 5046 and 5049?

Answer: LCM of 5046 and 5049 is 8492418.

2. What are the Factors of 5046?

Answer: Factors of 5046 are 1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523, 5046. There are 12 integers that are factors of 5046. The greatest factor of 5046 is 5046.

3. What are the Factors of 5049?

Answer: Factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049. There are 16 integers that are factors of 5049. The greatest factor of 5049 is 5049.

4. How to Find the LCM of 5046 and 5049?

Answer:

Least Common Multiple of 5046 and 5049 = 8492418

Step 1: Find the prime factorization of 5046

5046 = 2 x 3 x 29 x 29

Step 2: Find the prime factorization of 5049

5049 = 3 x 3 x 3 x 11 x 17

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

LCM = 8492418 = 2 x 3 x 3 x 3 x 11 x 17 x 29 x 29

Step 4: Therefore, the least common multiple of 5046 and 5049 is 8492418.