Least Common Multiple of 5074 and 5082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5074 and 5082 the smallest integer that is 12893034 that is divisible by both numbers.

Least Common Multiple (LCM) of 5074 and 5082 is 12893034.

LCM(5074,5082) = 12893034

LCM of 5074 and 5082

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

LCM of:
and

Least Common Multiple of 5074 and 5082

LCM of 5074 and 5082 is 12893034

Least common multiple can be found by multiplying the highest exponent prime factors of 5074 and 5082. First we will calculate the prime factors of 5074 and 5082.

Prime Factorization of 5074


2 5074
43 2537
59 59
1

Prime factors of 5074 are 2, 43,59. Prime factorization of 5074 in exponential form is:

5074 = 21×431×591

Prime Factorization of 5082


2 5082
3 2541
7 847
11 121
11 11
1

Prime factors of 5082 are 2, 3, 7,11. Prime factorization of 5082 in exponential form is:

5082 = 21×31×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 5074 and 5082.

LCM(5074,5082) = 21×31×71×112×431×591
LCM(5074,5082) = 12893034

Factors of 5074

List of positive integer factors of 5074 that divides 5074 without a remainder.

1, 2, 43, 59, 86, 118, 2537, 5074

Factors of 5082

List of positive integer factors of 5082 that divides 5082 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082

Least Common Multiple of 5074 and 5082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5074 and 5082, than apply into the LCM equation.

GCF(5074,5082) = 2
LCM(5074,5082) = ( 5074 × 5082) / 2
LCM(5074,5082) = 25786068 / 2
LCM(5074,5082) = 12893034

Properties of LCM 5074 and 5082

(i) The LCM of 5082 and 5074 is associative

LCM of 5074 and 5082 = LCM of 5082 and 5074

Related Least Common Multiples of 5074

Related Least Common Multiples of 5082

Frequently Asked Questions on LCM of 5074 and 5082

1. What is the LCM of 5074 and 5082?

Answer: LCM of 5074 and 5082 is 12893034.

2. What are the Factors of 5074?

Answer: Factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074. There are 8 integers that are factors of 5074. The greatest factor of 5074 is 5074.

3. What are the Factors of 5082?

Answer: Factors of 5082 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541, 5082. There are 24 integers that are factors of 5082. The greatest factor of 5082 is 5082.

4. How to Find the LCM of 5074 and 5082?

Answer:

Least Common Multiple of 5074 and 5082 = 12893034

Step 1: Find the prime factorization of 5074

5074 = 2 x 43 x 59

Step 2: Find the prime factorization of 5082

5082 = 2 x 3 x 7 x 11 x 11

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

LCM = 12893034 = 2 x 3 x 7 x 11 x 11 x 43 x 59

Step 4: Therefore, the least common multiple of 5074 and 5082 is 12893034.