Least Common Multiple of 425 and 429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 425 and 429 the smallest integer that is 182325 that is divisible by both numbers.

Least Common Multiple (LCM) of 425 and 429 is 182325.

LCM(425,429) = 182325

LCM of 425 and 429

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

LCM of:
and

Least Common Multiple of 425 and 429

LCM of 425 and 429 is 182325

Least common multiple can be found by multiplying the highest exponent prime factors of 425 and 429. First we will calculate the prime factors of 425 and 429.

Prime Factorization of 425


5 425
5 85
17 17
1

Prime factors of 425 are 5,17. Prime factorization of 425 in exponential form is:

425 = 52×171

Prime Factorization of 429


3 429
11 143
13 13
1

Prime factors of 429 are 3, 11,13. Prime factorization of 429 in exponential form is:

429 = 31×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 425 and 429.

LCM(425,429) = 31×52×111×131×171
LCM(425,429) = 182325

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Least Common Multiple of 425 and 429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 425 and 429, than apply into the LCM equation.

GCF(425,429) = 1
LCM(425,429) = ( 425 × 429) / 1
LCM(425,429) = 182325 / 1
LCM(425,429) = 182325

Properties of LCM 425 and 429

(i) The LCM of 429 and 425 is associative

LCM of 425 and 429 = LCM of 429 and 425

Related Least Common Multiples of 425

Related Least Common Multiples of 429

Frequently Asked Questions on LCM of 425 and 429

1. What is the LCM of 425 and 429?

Answer: LCM of 425 and 429 is 182325.

2. What are the Factors of 425?

Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.

3. What are the Factors of 429?

Answer: Factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429. There are 8 integers that are factors of 429. The greatest factor of 429 is 429.

4. How to Find the LCM of 425 and 429?

Answer:

Least Common Multiple of 425 and 429 = 182325

Step 1: Find the prime factorization of 425

425 = 5 x 5 x 17

Step 2: Find the prime factorization of 429

429 = 3 x 11 x 13

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

LCM = 182325 = 3 x 5 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 425 and 429 is 182325.