Least Common Multiple of 1425 and 1432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1425 and 1432 the smallest integer that is 2040600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1425 and 1432 is 2040600.

LCM(1425,1432) = 2040600

LCM of 1425 and 1432

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

LCM of:
and

Least Common Multiple of 1425 and 1432

LCM of 1425 and 1432 is 2040600

Least common multiple can be found by multiplying the highest exponent prime factors of 1425 and 1432. First we will calculate the prime factors of 1425 and 1432.

Prime Factorization of 1425


3 1425
5 475
5 95
19 19
1

Prime factors of 1425 are 3, 5,19. Prime factorization of 1425 in exponential form is:

1425 = 31×52×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1425 and 1432.

LCM(1425,1432) = 23×31×52×191×1791
LCM(1425,1432) = 2040600

Factors of 1425

List of positive integer factors of 1425 that divides 1425 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425

Factors of 1432

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

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

Least Common Multiple of 1425 and 1432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1425 and 1432, than apply into the LCM equation.

GCF(1425,1432) = 1
LCM(1425,1432) = ( 1425 × 1432) / 1
LCM(1425,1432) = 2040600 / 1
LCM(1425,1432) = 2040600

Properties of LCM 1425 and 1432

(i) The LCM of 1432 and 1425 is associative

LCM of 1425 and 1432 = LCM of 1432 and 1425

Related Least Common Multiples of 1425

Related Least Common Multiples of 1432

Frequently Asked Questions on LCM of 1425 and 1432

1. What is the LCM of 1425 and 1432?

Answer: LCM of 1425 and 1432 is 2040600.

2. What are the Factors of 1425?

Answer: Factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425. There are 12 integers that are factors of 1425. The greatest factor of 1425 is 1425.

3. 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.

4. How to Find the LCM of 1425 and 1432?

Answer:

Least Common Multiple of 1425 and 1432 = 2040600

Step 1: Find the prime factorization of 1425

1425 = 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

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

LCM = 2040600 = 2 x 2 x 2 x 3 x 5 x 5 x 19 x 179

Step 4: Therefore, the least common multiple of 1425 and 1432 is 2040600.