Least Common Multiple of 29022 and 29026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29022 and 29026 the smallest integer that is 421196286 that is divisible by both numbers.

Least Common Multiple (LCM) of 29022 and 29026 is 421196286.

LCM(29022,29026) = 421196286

LCM of 29022 and 29026

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

LCM of:
and

Least Common Multiple of 29022 and 29026

LCM of 29022 and 29026 is 421196286

Least common multiple can be found by multiplying the highest exponent prime factors of 29022 and 29026. First we will calculate the prime factors of 29022 and 29026.

Prime Factorization of 29022


2 29022
3 14511
7 4837
691 691
1

Prime factors of 29022 are 2, 3, 7,691. Prime factorization of 29022 in exponential form is:

29022 = 21×31×71×6911

Prime Factorization of 29026


2 29026
23 14513
631 631
1

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

29026 = 21×231×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 29022 and 29026.

LCM(29022,29026) = 21×31×71×231×6311×6911
LCM(29022,29026) = 421196286

Factors of 29022

List of positive integer factors of 29022 that divides 29022 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 691, 1382, 2073, 4146, 4837, 9674, 14511, 29022

Factors of 29026

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

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

Least Common Multiple of 29022 and 29026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29022 and 29026, than apply into the LCM equation.

GCF(29022,29026) = 2
LCM(29022,29026) = ( 29022 × 29026) / 2
LCM(29022,29026) = 842392572 / 2
LCM(29022,29026) = 421196286

Properties of LCM 29022 and 29026

(i) The LCM of 29026 and 29022 is associative

LCM of 29022 and 29026 = LCM of 29026 and 29022

Related Least Common Multiples of 29022

Related Least Common Multiples of 29026

Frequently Asked Questions on LCM of 29022 and 29026

1. What is the LCM of 29022 and 29026?

Answer: LCM of 29022 and 29026 is 421196286.

2. What are the Factors of 29022?

Answer: Factors of 29022 are 1, 2, 3, 6, 7, 14, 21, 42, 691, 1382, 2073, 4146, 4837, 9674, 14511, 29022. There are 16 integers that are factors of 29022. The greatest factor of 29022 is 29022.

3. 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.

4. How to Find the LCM of 29022 and 29026?

Answer:

Least Common Multiple of 29022 and 29026 = 421196286

Step 1: Find the prime factorization of 29022

29022 = 2 x 3 x 7 x 691

Step 2: Find the prime factorization of 29026

29026 = 2 x 23 x 631

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

LCM = 421196286 = 2 x 3 x 7 x 23 x 631 x 691

Step 4: Therefore, the least common multiple of 29022 and 29026 is 421196286.