Least Common Multiple of 1429 and 1434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1429 and 1434 the smallest integer that is 2049186 that is divisible by both numbers.

Least Common Multiple (LCM) of 1429 and 1434 is 2049186.

LCM(1429,1434) = 2049186

LCM of 1429 and 1434

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

LCM of:
and

Least Common Multiple of 1429 and 1434

LCM of 1429 and 1434 is 2049186

Least common multiple can be found by multiplying the highest exponent prime factors of 1429 and 1434. First we will calculate the prime factors of 1429 and 1434.

Prime Factorization of 1429


1429 1429
1

Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:

1429 = 14291

Prime Factorization of 1434


2 1434
3 717
239 239
1

Prime factors of 1434 are 2, 3,239. Prime factorization of 1434 in exponential form is:

1434 = 21×31×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 1429 and 1434.

LCM(1429,1434) = 21×31×2391×14291
LCM(1429,1434) = 2049186

Factors of 1429

List of positive integer factors of 1429 that divides 1429 without a remainder.

1, 1429

Factors of 1434

List of positive integer factors of 1434 that divides 1434 without a remainder.

1, 2, 3, 6, 239, 478, 717, 1434

Least Common Multiple of 1429 and 1434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1429 and 1434, than apply into the LCM equation.

GCF(1429,1434) = 1
LCM(1429,1434) = ( 1429 × 1434) / 1
LCM(1429,1434) = 2049186 / 1
LCM(1429,1434) = 2049186

Properties of LCM 1429 and 1434

(i) The LCM of 1434 and 1429 is associative

LCM of 1429 and 1434 = LCM of 1434 and 1429

Related Least Common Multiples of 1429

Related Least Common Multiples of 1434

Frequently Asked Questions on LCM of 1429 and 1434

1. What is the LCM of 1429 and 1434?

Answer: LCM of 1429 and 1434 is 2049186.

2. What are the Factors of 1429?

Answer: Factors of 1429 are 1, 1429. There are 2 integers that are factors of 1429. The greatest factor of 1429 is 1429.

3. What are the Factors of 1434?

Answer: Factors of 1434 are 1, 2, 3, 6, 239, 478, 717, 1434. There are 8 integers that are factors of 1434. The greatest factor of 1434 is 1434.

4. How to Find the LCM of 1429 and 1434?

Answer:

Least Common Multiple of 1429 and 1434 = 2049186

Step 1: Find the prime factorization of 1429

1429 = 1429

Step 2: Find the prime factorization of 1434

1434 = 2 x 3 x 239

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

LCM = 2049186 = 2 x 3 x 239 x 1429

Step 4: Therefore, the least common multiple of 1429 and 1434 is 2049186.