Least Common Multiple of 417 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 417 and 425 the smallest integer that is 177225 that is divisible by both numbers.

Least Common Multiple (LCM) of 417 and 425 is 177225.

LCM(417,425) = 177225

LCM of 417 and 425

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

LCM of:
and

Least Common Multiple of 417 and 425

LCM of 417 and 425 is 177225

Least common multiple can be found by multiplying the highest exponent prime factors of 417 and 425. First we will calculate the prime factors of 417 and 425.

Prime Factorization of 417


3 417
139 139
1

Prime factors of 417 are 3,139. Prime factorization of 417 in exponential form is:

417 = 31×1391

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 417 and 425.

LCM(417,425) = 31×52×171×1391
LCM(417,425) = 177225

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1, 3, 139, 417

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 417 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 417 and 425, than apply into the LCM equation.

GCF(417,425) = 1
LCM(417,425) = ( 417 × 425) / 1
LCM(417,425) = 177225 / 1
LCM(417,425) = 177225

Properties of LCM 417 and 425

(i) The LCM of 425 and 417 is associative

LCM of 417 and 425 = LCM of 425 and 417

Related Least Common Multiples of 417

Related Least Common Multiples of 425

Frequently Asked Questions on LCM of 417 and 425

1. What is the LCM of 417 and 425?

Answer: LCM of 417 and 425 is 177225.

2. What are the Factors of 417?

Answer: Factors of 417 are 1, 3, 139, 417. There are 4 integers that are factors of 417. The greatest factor of 417 is 417.

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 417 and 425?

Answer:

Least Common Multiple of 417 and 425 = 177225

Step 1: Find the prime factorization of 417

417 = 3 x 139

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 = 177225 = 3 x 5 x 5 x 17 x 139

Step 4: Therefore, the least common multiple of 417 and 425 is 177225.