Least Common Multiple of 11429 and 11433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11429 and 11433 the smallest integer that is 130667757 that is divisible by both numbers.

Least Common Multiple (LCM) of 11429 and 11433 is 130667757.

LCM(11429,11433) = 130667757

LCM of 11429 and 11433

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

LCM of:
and

Least Common Multiple of 11429 and 11433

LCM of 11429 and 11433 is 130667757

Least common multiple can be found by multiplying the highest exponent prime factors of 11429 and 11433. First we will calculate the prime factors of 11429 and 11433.

Prime Factorization of 11429


11 11429
1039 1039
1

Prime factors of 11429 are 11,1039. Prime factorization of 11429 in exponential form is:

11429 = 111×10391

Prime Factorization of 11433


3 11433
37 3811
103 103
1

Prime factors of 11433 are 3, 37,103. Prime factorization of 11433 in exponential form is:

11433 = 31×371×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 11429 and 11433.

LCM(11429,11433) = 31×111×371×1031×10391
LCM(11429,11433) = 130667757

Factors of 11429

List of positive integer factors of 11429 that divides 11429 without a remainder.

1, 11, 1039, 11429

Factors of 11433

List of positive integer factors of 11433 that divides 11433 without a remainder.

1, 3, 37, 103, 111, 309, 3811, 11433

Least Common Multiple of 11429 and 11433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11429 and 11433, than apply into the LCM equation.

GCF(11429,11433) = 1
LCM(11429,11433) = ( 11429 × 11433) / 1
LCM(11429,11433) = 130667757 / 1
LCM(11429,11433) = 130667757

Properties of LCM 11429 and 11433

(i) The LCM of 11433 and 11429 is associative

LCM of 11429 and 11433 = LCM of 11433 and 11429

Related Least Common Multiples of 11429

Related Least Common Multiples of 11433

Frequently Asked Questions on LCM of 11429 and 11433

1. What is the LCM of 11429 and 11433?

Answer: LCM of 11429 and 11433 is 130667757.

2. What are the Factors of 11429?

Answer: Factors of 11429 are 1, 11, 1039, 11429. There are 4 integers that are factors of 11429. The greatest factor of 11429 is 11429.

3. What are the Factors of 11433?

Answer: Factors of 11433 are 1, 3, 37, 103, 111, 309, 3811, 11433. There are 8 integers that are factors of 11433. The greatest factor of 11433 is 11433.

4. How to Find the LCM of 11429 and 11433?

Answer:

Least Common Multiple of 11429 and 11433 = 130667757

Step 1: Find the prime factorization of 11429

11429 = 11 x 1039

Step 2: Find the prime factorization of 11433

11433 = 3 x 37 x 103

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

LCM = 130667757 = 3 x 11 x 37 x 103 x 1039

Step 4: Therefore, the least common multiple of 11429 and 11433 is 130667757.