Least Common Multiple of 1425 and 1430

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 1430 the smallest integer that is 407550 that is divisible by both numbers.

Least Common Multiple (LCM) of 1425 and 1430 is 407550.

LCM(1425,1430) = 407550

LCM of 1425 and 1430

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

LCM of:
and

Least Common Multiple of 1425 and 1430

LCM of 1425 and 1430 is 407550

Least common multiple can be found by multiplying the highest exponent prime factors of 1425 and 1430. First we will calculate the prime factors of 1425 and 1430.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1425 and 1430.

LCM(1425,1430) = 21×31×52×111×131×191
LCM(1425,1430) = 407550

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 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

Least Common Multiple of 1425 and 1430 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 1430, than apply into the LCM equation.

GCF(1425,1430) = 5
LCM(1425,1430) = ( 1425 × 1430) / 5
LCM(1425,1430) = 2037750 / 5
LCM(1425,1430) = 407550

Properties of LCM 1425 and 1430

(i) The LCM of 1430 and 1425 is associative

LCM of 1425 and 1430 = LCM of 1430 and 1425

Related Least Common Multiples of 1425

Related Least Common Multiples of 1430

Frequently Asked Questions on LCM of 1425 and 1430

1. What is the LCM of 1425 and 1430?

Answer: LCM of 1425 and 1430 is 407550.

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 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.

4. How to Find the LCM of 1425 and 1430?

Answer:

Least Common Multiple of 1425 and 1430 = 407550

Step 1: Find the prime factorization of 1425

1425 = 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 1430

1430 = 2 x 5 x 11 x 13

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

LCM = 407550 = 2 x 3 x 5 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 1425 and 1430 is 407550.