Least Common Multiple of 424 and 425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 424 and 425 the smallest integer that is 180200 that is divisible by both numbers.

Least Common Multiple (LCM) of 424 and 425 is 180200.

LCM(424,425) = 180200

LCM of 424 and 425

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

LCM of:
and

Least Common Multiple of 424 and 425

LCM of 424 and 425 is 180200

Least common multiple can be found by multiplying the highest exponent prime factors of 424 and 425. First we will calculate the prime factors of 424 and 425.

Prime Factorization of 424


2 424
2 212
2 106
53 53
1

Prime factors of 424 are 2,53. Prime factorization of 424 in exponential form is:

424 = 23×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 424 and 425.

LCM(424,425) = 23×52×171×531
LCM(424,425) = 180200

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Factors of 425

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

1, 5, 17, 25, 85, 425

Least Common Multiple of 424 and 425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 424 and 425, than apply into the LCM equation.

GCF(424,425) = 1
LCM(424,425) = ( 424 × 425) / 1
LCM(424,425) = 180200 / 1
LCM(424,425) = 180200

Properties of LCM 424 and 425

(i) The LCM of 425 and 424 is associative

LCM of 424 and 425 = LCM of 425 and 424

Related Least Common Multiples of 424

Related Least Common Multiples of 425

Frequently Asked Questions on LCM of 424 and 425

1. What is the LCM of 424 and 425?

Answer: LCM of 424 and 425 is 180200.

2. What are the Factors of 424?

Answer: Factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424. There are 8 integers that are factors of 424. The greatest factor of 424 is 424.

3. 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.

4. How to Find the LCM of 424 and 425?

Answer:

Least Common Multiple of 424 and 425 = 180200

Step 1: Find the prime factorization of 424

424 = 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 425

425 = 5 x 5 x 17

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

LCM = 180200 = 2 x 2 x 2 x 5 x 5 x 17 x 53

Step 4: Therefore, the least common multiple of 424 and 425 is 180200.