Least Common Multiple of 1432 and 1437

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 1437 the smallest integer that is 2057784 that is divisible by both numbers.

Least Common Multiple (LCM) of 1432 and 1437 is 2057784.

LCM(1432,1437) = 2057784

LCM of 1432 and 1437

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

LCM of:
and

Least Common Multiple of 1432 and 1437

LCM of 1432 and 1437 is 2057784

Least common multiple can be found by multiplying the highest exponent prime factors of 1432 and 1437. First we will calculate the prime factors of 1432 and 1437.

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 1437


3 1437
479 479
1

Prime factors of 1437 are 3,479. Prime factorization of 1437 in exponential form is:

1437 = 31×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 1432 and 1437.

LCM(1432,1437) = 23×31×1791×4791
LCM(1432,1437) = 2057784

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 1437

List of positive integer factors of 1437 that divides 1437 without a remainder.

1, 3, 479, 1437

Least Common Multiple of 1432 and 1437 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 1437, than apply into the LCM equation.

GCF(1432,1437) = 1
LCM(1432,1437) = ( 1432 × 1437) / 1
LCM(1432,1437) = 2057784 / 1
LCM(1432,1437) = 2057784

Properties of LCM 1432 and 1437

(i) The LCM of 1437 and 1432 is associative

LCM of 1432 and 1437 = LCM of 1437 and 1432

Related Least Common Multiples of 1432

Related Least Common Multiples of 1437

Frequently Asked Questions on LCM of 1432 and 1437

1. What is the LCM of 1432 and 1437?

Answer: LCM of 1432 and 1437 is 2057784.

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 1437?

Answer: Factors of 1437 are 1, 3, 479, 1437. There are 4 integers that are factors of 1437. The greatest factor of 1437 is 1437.

4. How to Find the LCM of 1432 and 1437?

Answer:

Least Common Multiple of 1432 and 1437 = 2057784

Step 1: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

Step 2: Find the prime factorization of 1437

1437 = 3 x 479

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

LCM = 2057784 = 2 x 2 x 2 x 3 x 179 x 479

Step 4: Therefore, the least common multiple of 1432 and 1437 is 2057784.