Least Common Multiple of 423 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 423 and 425 the smallest integer that is 179775 that is divisible by both numbers.

Least Common Multiple (LCM) of 423 and 425 is 179775.

LCM(423,425) = 179775

LCM of 423 and 425

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

LCM of:
and

Least Common Multiple of 423 and 425

LCM of 423 and 425 is 179775

Least common multiple can be found by multiplying the highest exponent prime factors of 423 and 425. First we will calculate the prime factors of 423 and 425.

Prime Factorization of 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

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 423 and 425.

LCM(423,425) = 32×52×171×471
LCM(423,425) = 179775

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 423 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 423 and 425, than apply into the LCM equation.

GCF(423,425) = 1
LCM(423,425) = ( 423 × 425) / 1
LCM(423,425) = 179775 / 1
LCM(423,425) = 179775

Properties of LCM 423 and 425

(i) The LCM of 425 and 423 is associative

LCM of 423 and 425 = LCM of 425 and 423

Related Least Common Multiples of 423

Related Least Common Multiples of 425

Frequently Asked Questions on LCM of 423 and 425

1. What is the LCM of 423 and 425?

Answer: LCM of 423 and 425 is 179775.

2. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

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 423 and 425?

Answer:

Least Common Multiple of 423 and 425 = 179775

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 179775 = 3 x 3 x 5 x 5 x 17 x 47

Step 4: Therefore, the least common multiple of 423 and 425 is 179775.