Least Common Multiple of 1430 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 1430 and 1435 the smallest integer that is 410410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1430 and 1435 is 410410.

LCM(1430,1435) = 410410

LCM of 1430 and 1435

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

LCM of:
and

Least Common Multiple of 1430 and 1435

LCM of 1430 and 1435 is 410410

Least common multiple can be found by multiplying the highest exponent prime factors of 1430 and 1435. First we will calculate the prime factors of 1430 and 1435.

Prime Factorization of 1430


2 1430
5 715
11 143
13 13
1

Prime factors of 1430 are 2, 5, 11,13. Prime factorization of 1430 in exponential form is:

1430 = 21×51×111×131

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 1430 and 1435.

LCM(1430,1435) = 21×51×71×111×131×411
LCM(1430,1435) = 410410

Factors of 1430

List of positive integer factors of 1430 that divides 1430 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430

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 1430 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 1430 and 1435, than apply into the LCM equation.

GCF(1430,1435) = 5
LCM(1430,1435) = ( 1430 × 1435) / 5
LCM(1430,1435) = 2052050 / 5
LCM(1430,1435) = 410410

Properties of LCM 1430 and 1435

(i) The LCM of 1435 and 1430 is associative

LCM of 1430 and 1435 = LCM of 1435 and 1430

Related Least Common Multiples of 1430

Related Least Common Multiples of 1435

Frequently Asked Questions on LCM of 1430 and 1435

1. What is the LCM of 1430 and 1435?

Answer: LCM of 1430 and 1435 is 410410.

2. What are the Factors of 1430?

Answer: Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430. There are 16 integers that are factors of 1430. The greatest factor of 1430 is 1430.

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 1430 and 1435?

Answer:

Least Common Multiple of 1430 and 1435 = 410410

Step 1: Find the prime factorization of 1430

1430 = 2 x 5 x 11 x 13

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 = 410410 = 2 x 5 x 7 x 11 x 13 x 41

Step 4: Therefore, the least common multiple of 1430 and 1435 is 410410.