Least Common Multiple of 29026 and 29031

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

• Least Common Multiple of 29026 and 29031 by Prime method
• Least Common Multiple of 29026 and 29031 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 29026 and 29031. First we will calculate the prime factors of 29026 and 29031.

Prime Factorization of 29026

Prime factors of 29026 are 2, 23,631. Prime factorization of 29026 in exponential form is:

29026 = 2¹×23¹×631¹

Prime Factorization of 29031

Prime factors of 29031 are 3,9677. Prime factorization of 29031 in exponential form is:

29031 = 3¹×9677¹

Now multiplying the highest exponent prime factors to calculate the LCM of 29026 and 29031.

LCM(29026,29031) = 2¹×3¹×23¹×631¹×9677¹
LCM(29026,29031) = 842653806

Factors of 29026

List of positive integer factors of 29026 that divides 29026 without a remainder.

1, 2, 23, 46, 631, 1262, 14513, 29026

Factors of 29031

List of positive integer factors of 29031 that divides 29031 without a remainder.

1, 3, 9677, 29031

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29026 and 29031, than apply into the LCM equation.

GCF(29026,29031) = 1
LCM(29026,29031) = ( 29026 × 29031) / 1
LCM(29026,29031) = 842653806 / 1
LCM(29026,29031) = 842653806

(i) The LCM of 29031 and 29026 is associative

LCM of 29026 and 29031 = LCM of 29031 and 29026

1. What is the LCM of 29026 and 29031?

Answer: LCM of 29026 and 29031 is 842653806.

2. What are the Factors of 29026?

Answer: Factors of 29026 are 1, 2, 23, 46, 631, 1262, 14513, 29026. There are 8 integers that are factors of 29026. The greatest factor of 29026 is 29026.

3. What are the Factors of 29031?

Answer: Factors of 29031 are 1, 3, 9677, 29031. There are 4 integers that are factors of 29031. The greatest factor of 29031 is 29031.

4. How to Find the LCM of 29026 and 29031?

Answer:

Least Common Multiple of 29026 and 29031 = 842653806

Step 1: Find the prime factorization of 29026

29026 = 2 x 23 x 631

Step 2: Find the prime factorization of 29031

29031 = 3 x 9677

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

LCM = 842653806 = 2 x 3 x 23 x 631 x 9677

Step 4: Therefore, the least common multiple of 29026 and 29031 is 842653806.