Least Common Multiple of 29129 and 29133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 29129 and 29133 the smallest integer that is 848615157 that is divisible by both numbers.

Least Common Multiple (LCM) of 29129 and 29133 is 848615157.

LCM(29129,29133) = 848615157

LCM of 29129 and 29133

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

LCM of:
and

Least Common Multiple of 29129 and 29133

LCM of 29129 and 29133 is 848615157

Least common multiple can be found by multiplying the highest exponent prime factors of 29129 and 29133. First we will calculate the prime factors of 29129 and 29133.

Prime Factorization of 29129


29129 29129
1

Prime factors of 29129 are 29129. Prime factorization of 29129 in exponential form is:

29129 = 291291

Prime Factorization of 29133


3 29133
3 9711
3 3237
13 1079
83 83
1

Prime factors of 29133 are 3, 13,83. Prime factorization of 29133 in exponential form is:

29133 = 33×131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 29129 and 29133.

LCM(29129,29133) = 33×131×831×291291
LCM(29129,29133) = 848615157

Factors of 29129

List of positive integer factors of 29129 that divides 29129 without a remainder.

1, 29129

Factors of 29133

List of positive integer factors of 29133 that divides 29133 without a remainder.

1, 3, 9, 13, 27, 39, 83, 117, 249, 351, 747, 1079, 2241, 3237, 9711, 29133

Least Common Multiple of 29129 and 29133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29129 and 29133, than apply into the LCM equation.

GCF(29129,29133) = 1
LCM(29129,29133) = ( 29129 × 29133) / 1
LCM(29129,29133) = 848615157 / 1
LCM(29129,29133) = 848615157

Properties of LCM 29129 and 29133

(i) The LCM of 29133 and 29129 is associative

LCM of 29129 and 29133 = LCM of 29133 and 29129

Related Least Common Multiples of 29129

Related Least Common Multiples of 29133

Frequently Asked Questions on LCM of 29129 and 29133

1. What is the LCM of 29129 and 29133?

Answer: LCM of 29129 and 29133 is 848615157.

2. What are the Factors of 29129?

Answer: Factors of 29129 are 1, 29129. There are 2 integers that are factors of 29129. The greatest factor of 29129 is 29129.

3. What are the Factors of 29133?

Answer: Factors of 29133 are 1, 3, 9, 13, 27, 39, 83, 117, 249, 351, 747, 1079, 2241, 3237, 9711, 29133. There are 16 integers that are factors of 29133. The greatest factor of 29133 is 29133.

4. How to Find the LCM of 29129 and 29133?

Answer:

Least Common Multiple of 29129 and 29133 = 848615157

Step 1: Find the prime factorization of 29129

29129 = 29129

Step 2: Find the prime factorization of 29133

29133 = 3 x 3 x 3 x 13 x 83

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

LCM = 848615157 = 3 x 3 x 3 x 13 x 83 x 29129

Step 4: Therefore, the least common multiple of 29129 and 29133 is 848615157.