Least Common Multiple of 1432 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 1432 and 1435 the smallest integer that is 2054920 that is divisible by both numbers.

Least Common Multiple (LCM) of 1432 and 1435 is 2054920.

LCM(1432,1435) = 2054920

LCM of 1432 and 1435

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

LCM of:
and

Least Common Multiple of 1432 and 1435

LCM of 1432 and 1435 is 2054920

Least common multiple can be found by multiplying the highest exponent prime factors of 1432 and 1435. First we will calculate the prime factors of 1432 and 1435.

Prime Factorization of 1432


2 1432
2 716
2 358
179 179
1

Prime factors of 1432 are 2,179. Prime factorization of 1432 in exponential form is:

1432 = 23×1791

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 1432 and 1435.

LCM(1432,1435) = 23×51×71×411×1791
LCM(1432,1435) = 2054920

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1, 2, 4, 8, 179, 358, 716, 1432

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 1432 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 1432 and 1435, than apply into the LCM equation.

GCF(1432,1435) = 1
LCM(1432,1435) = ( 1432 × 1435) / 1
LCM(1432,1435) = 2054920 / 1
LCM(1432,1435) = 2054920

Properties of LCM 1432 and 1435

(i) The LCM of 1435 and 1432 is associative

LCM of 1432 and 1435 = LCM of 1435 and 1432

Related Least Common Multiples of 1432

Related Least Common Multiples of 1435

Frequently Asked Questions on LCM of 1432 and 1435

1. What is the LCM of 1432 and 1435?

Answer: LCM of 1432 and 1435 is 2054920.

2. What are the Factors of 1432?

Answer: Factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432. There are 8 integers that are factors of 1432. The greatest factor of 1432 is 1432.

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 1432 and 1435?

Answer:

Least Common Multiple of 1432 and 1435 = 2054920

Step 1: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

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 = 2054920 = 2 x 2 x 2 x 5 x 7 x 41 x 179

Step 4: Therefore, the least common multiple of 1432 and 1435 is 2054920.