Least Common Multiple of 429 and 437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 429 and 437 the smallest integer that is 187473 that is divisible by both numbers.

Least Common Multiple (LCM) of 429 and 437 is 187473.

LCM(429,437) = 187473

LCM of 429 and 437

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

LCM of:
and

Least Common Multiple of 429 and 437

LCM of 429 and 437 is 187473

Least common multiple can be found by multiplying the highest exponent prime factors of 429 and 437. First we will calculate the prime factors of 429 and 437.

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

Prime Factorization of 437


19 437
23 23
1

Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:

437 = 191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 429 and 437.

LCM(429,437) = 31×111×131×191×231
LCM(429,437) = 187473

Factors of 429

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

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

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Least Common Multiple of 429 and 437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 437, than apply into the LCM equation.

GCF(429,437) = 1
LCM(429,437) = ( 429 × 437) / 1
LCM(429,437) = 187473 / 1
LCM(429,437) = 187473

Properties of LCM 429 and 437

(i) The LCM of 437 and 429 is associative

LCM of 429 and 437 = LCM of 437 and 429

Related Least Common Multiples of 429

Related Least Common Multiples of 437

Frequently Asked Questions on LCM of 429 and 437

1. What is the LCM of 429 and 437?

Answer: LCM of 429 and 437 is 187473.

2. 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.

3. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

4. How to Find the LCM of 429 and 437?

Answer:

Least Common Multiple of 429 and 437 = 187473

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 437

437 = 19 x 23

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

LCM = 187473 = 3 x 11 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 429 and 437 is 187473.