Least Common Multiple of 1432 and 1436

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 1436 the smallest integer that is 514088 that is divisible by both numbers.

Least Common Multiple (LCM) of 1432 and 1436 is 514088.

LCM(1432,1436) = 514088

LCM of 1432 and 1436

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

LCM of:
and

Least Common Multiple of 1432 and 1436

LCM of 1432 and 1436 is 514088

Least common multiple can be found by multiplying the highest exponent prime factors of 1432 and 1436. First we will calculate the prime factors of 1432 and 1436.

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 1436


2 1436
2 718
359 359
1

Prime factors of 1436 are 2,359. Prime factorization of 1436 in exponential form is:

1436 = 22×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 1432 and 1436.

LCM(1432,1436) = 23×1791×3591
LCM(1432,1436) = 514088

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 1436

List of positive integer factors of 1436 that divides 1436 without a remainder.

1, 2, 4, 359, 718, 1436

Least Common Multiple of 1432 and 1436 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 1436, than apply into the LCM equation.

GCF(1432,1436) = 4
LCM(1432,1436) = ( 1432 × 1436) / 4
LCM(1432,1436) = 2056352 / 4
LCM(1432,1436) = 514088

Properties of LCM 1432 and 1436

(i) The LCM of 1436 and 1432 is associative

LCM of 1432 and 1436 = LCM of 1436 and 1432

Related Least Common Multiples of 1432

Related Least Common Multiples of 1436

Frequently Asked Questions on LCM of 1432 and 1436

1. What is the LCM of 1432 and 1436?

Answer: LCM of 1432 and 1436 is 514088.

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 1436?

Answer: Factors of 1436 are 1, 2, 4, 359, 718, 1436. There are 6 integers that are factors of 1436. The greatest factor of 1436 is 1436.

4. How to Find the LCM of 1432 and 1436?

Answer:

Least Common Multiple of 1432 and 1436 = 514088

Step 1: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 1436

1436 = 2 x 2 x 359

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

LCM = 514088 = 2 x 2 x 2 x 179 x 359

Step 4: Therefore, the least common multiple of 1432 and 1436 is 514088.