Least Common Multiple of 1429 and 1435

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 1435 the smallest integer that is 2050615 that is divisible by both numbers.

Least Common Multiple (LCM) of 1429 and 1435 is 2050615.

LCM(1429,1435) = 2050615

LCM of 1429 and 1435

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

LCM of:
and

Least Common Multiple of 1429 and 1435

LCM of 1429 and 1435 is 2050615

Least common multiple can be found by multiplying the highest exponent prime factors of 1429 and 1435. First we will calculate the prime factors of 1429 and 1435.

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 1435


5 1435
7 287
41 41
1

Prime factors of 1435 are 5, 7,41. Prime factorization of 1435 in exponential form is:

1435 = 51×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1429 and 1435.

LCM(1429,1435) = 51×71×411×14291
LCM(1429,1435) = 2050615

Factors of 1429

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

1, 1429

Factors of 1435

List of positive integer factors of 1435 that divides 1435 without a remainder.

1, 5, 7, 35, 41, 205, 287, 1435

Least Common Multiple of 1429 and 1435 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 1435, than apply into the LCM equation.

GCF(1429,1435) = 1
LCM(1429,1435) = ( 1429 × 1435) / 1
LCM(1429,1435) = 2050615 / 1
LCM(1429,1435) = 2050615

Properties of LCM 1429 and 1435

(i) The LCM of 1435 and 1429 is associative

LCM of 1429 and 1435 = LCM of 1435 and 1429

Related Least Common Multiples of 1429

Related Least Common Multiples of 1435

Frequently Asked Questions on LCM of 1429 and 1435

1. What is the LCM of 1429 and 1435?

Answer: LCM of 1429 and 1435 is 2050615.

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 1435?

Answer: Factors of 1435 are 1, 5, 7, 35, 41, 205, 287, 1435. There are 8 integers that are factors of 1435. The greatest factor of 1435 is 1435.

4. How to Find the LCM of 1429 and 1435?

Answer:

Least Common Multiple of 1429 and 1435 = 2050615

Step 1: Find the prime factorization of 1429

1429 = 1429

Step 2: Find the prime factorization of 1435

1435 = 5 x 7 x 41

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

LCM = 2050615 = 5 x 7 x 41 x 1429

Step 4: Therefore, the least common multiple of 1429 and 1435 is 2050615.