Least Common Multiple of 418 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 418 and 425 the smallest integer that is 177650 that is divisible by both numbers.

Least Common Multiple (LCM) of 418 and 425 is 177650.

LCM(418,425) = 177650

LCM of 418 and 425

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

LCM of:
and

Least Common Multiple of 418 and 425

LCM of 418 and 425 is 177650

Least common multiple can be found by multiplying the highest exponent prime factors of 418 and 425. First we will calculate the prime factors of 418 and 425.

Prime Factorization of 418


2 418
11 209
19 19
1

Prime factors of 418 are 2, 11,19. Prime factorization of 418 in exponential form is:

418 = 21×111×191

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 418 and 425.

LCM(418,425) = 21×52×111×171×191
LCM(418,425) = 177650

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

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 418 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 418 and 425, than apply into the LCM equation.

GCF(418,425) = 1
LCM(418,425) = ( 418 × 425) / 1
LCM(418,425) = 177650 / 1
LCM(418,425) = 177650

Properties of LCM 418 and 425

(i) The LCM of 425 and 418 is associative

LCM of 418 and 425 = LCM of 425 and 418

Related Least Common Multiples of 418

Related Least Common Multiples of 425

Frequently Asked Questions on LCM of 418 and 425

1. What is the LCM of 418 and 425?

Answer: LCM of 418 and 425 is 177650.

2. What are the Factors of 418?

Answer: Factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418. There are 8 integers that are factors of 418. The greatest factor of 418 is 418.

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 418 and 425?

Answer:

Least Common Multiple of 418 and 425 = 177650

Step 1: Find the prime factorization of 418

418 = 2 x 11 x 19

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 = 177650 = 2 x 5 x 5 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 418 and 425 is 177650.