Least Common Multiple of 427 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 427 and 429 the smallest integer that is 183183 that is divisible by both numbers.

Least Common Multiple (LCM) of 427 and 429 is 183183.

LCM(427,429) = 183183

LCM of 427 and 429

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

LCM of:
and

Least Common Multiple of 427 and 429

LCM of 427 and 429 is 183183

Least common multiple can be found by multiplying the highest exponent prime factors of 427 and 429. First we will calculate the prime factors of 427 and 429.

Prime Factorization of 427


7 427
61 61
1

Prime factors of 427 are 7,61. Prime factorization of 427 in exponential form is:

427 = 71×611

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 427 and 429.

LCM(427,429) = 31×71×111×131×611
LCM(427,429) = 183183

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1, 7, 61, 427

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 427 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 427 and 429, than apply into the LCM equation.

GCF(427,429) = 1
LCM(427,429) = ( 427 × 429) / 1
LCM(427,429) = 183183 / 1
LCM(427,429) = 183183

Properties of LCM 427 and 429

(i) The LCM of 429 and 427 is associative

LCM of 427 and 429 = LCM of 429 and 427

Related Least Common Multiples of 427

Related Least Common Multiples of 429

Frequently Asked Questions on LCM of 427 and 429

1. What is the LCM of 427 and 429?

Answer: LCM of 427 and 429 is 183183.

2. What are the Factors of 427?

Answer: Factors of 427 are 1, 7, 61, 427. There are 4 integers that are factors of 427. The greatest factor of 427 is 427.

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 427 and 429?

Answer:

Least Common Multiple of 427 and 429 = 183183

Step 1: Find the prime factorization of 427

427 = 7 x 61

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 = 183183 = 3 x 7 x 11 x 13 x 61

Step 4: Therefore, the least common multiple of 427 and 429 is 183183.