Least Common Multiple of 421 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 421 and 425 the smallest integer that is 178925 that is divisible by both numbers.

Least Common Multiple (LCM) of 421 and 425 is 178925.

LCM(421,425) = 178925

LCM of 421 and 425

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

LCM of:
and

Least Common Multiple of 421 and 425

LCM of 421 and 425 is 178925

Least common multiple can be found by multiplying the highest exponent prime factors of 421 and 425. First we will calculate the prime factors of 421 and 425.

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

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 421 and 425.

LCM(421,425) = 52×171×4211
LCM(421,425) = 178925

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1, 421

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 421 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 421 and 425, than apply into the LCM equation.

GCF(421,425) = 1
LCM(421,425) = ( 421 × 425) / 1
LCM(421,425) = 178925 / 1
LCM(421,425) = 178925

Properties of LCM 421 and 425

(i) The LCM of 425 and 421 is associative

LCM of 421 and 425 = LCM of 425 and 421

Related Least Common Multiples of 421

Related Least Common Multiples of 425

Frequently Asked Questions on LCM of 421 and 425

1. What is the LCM of 421 and 425?

Answer: LCM of 421 and 425 is 178925.

2. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

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 421 and 425?

Answer:

Least Common Multiple of 421 and 425 = 178925

Step 1: Find the prime factorization of 421

421 = 421

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 = 178925 = 5 x 5 x 17 x 421

Step 4: Therefore, the least common multiple of 421 and 425 is 178925.