Least Common Multiple of 425 and 430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 425 and 430 the smallest integer that is 36550 that is divisible by both numbers.

Least Common Multiple (LCM) of 425 and 430 is 36550.

LCM(425,430) = 36550

LCM of 425 and 430

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

LCM of:
and

Least Common Multiple of 425 and 430

LCM of 425 and 430 is 36550

Least common multiple can be found by multiplying the highest exponent prime factors of 425 and 430. First we will calculate the prime factors of 425 and 430.

Prime Factorization of 425


5 425
5 85
17 17
1

Prime factors of 425 are 5,17. Prime factorization of 425 in exponential form is:

425 = 52×171

Prime Factorization of 430


2 430
5 215
43 43
1

Prime factors of 430 are 2, 5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 425 and 430.

LCM(425,430) = 21×52×171×431
LCM(425,430) = 36550

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Least Common Multiple of 425 and 430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 425 and 430, than apply into the LCM equation.

GCF(425,430) = 5
LCM(425,430) = ( 425 × 430) / 5
LCM(425,430) = 182750 / 5
LCM(425,430) = 36550

Properties of LCM 425 and 430

(i) The LCM of 430 and 425 is associative

LCM of 425 and 430 = LCM of 430 and 425

Related Least Common Multiples of 425

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 425 and 430

1. What is the LCM of 425 and 430?

Answer: LCM of 425 and 430 is 36550.

2. What are the Factors of 425?

Answer: Factors of 425 are 1, 5, 17, 25, 85, 425. There are 6 integers that are factors of 425. The greatest factor of 425 is 425.

3. What are the Factors of 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

4. How to Find the LCM of 425 and 430?

Answer:

Least Common Multiple of 425 and 430 = 36550

Step 1: Find the prime factorization of 425

425 = 5 x 5 x 17

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

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

LCM = 36550 = 2 x 5 x 5 x 17 x 43

Step 4: Therefore, the least common multiple of 425 and 430 is 36550.