Least Common Multiple of 415 and 418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 415 and 418 the smallest integer that is 173470 that is divisible by both numbers.

Least Common Multiple (LCM) of 415 and 418 is 173470.

LCM(415,418) = 173470

LCM of 415 and 418

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

LCM of:
and

Least Common Multiple of 415 and 418

LCM of 415 and 418 is 173470

Least common multiple can be found by multiplying the highest exponent prime factors of 415 and 418. First we will calculate the prime factors of 415 and 418.

Prime Factorization of 415


5 415
83 83
1

Prime factors of 415 are 5,83. Prime factorization of 415 in exponential form is:

415 = 51×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 415 and 418.

LCM(415,418) = 21×51×111×191×831
LCM(415,418) = 173470

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Factors of 418

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

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

Least Common Multiple of 415 and 418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 415 and 418, than apply into the LCM equation.

GCF(415,418) = 1
LCM(415,418) = ( 415 × 418) / 1
LCM(415,418) = 173470 / 1
LCM(415,418) = 173470

Properties of LCM 415 and 418

(i) The LCM of 418 and 415 is associative

LCM of 415 and 418 = LCM of 418 and 415

Related Least Common Multiples of 415

Related Least Common Multiples of 418

Frequently Asked Questions on LCM of 415 and 418

1. What is the LCM of 415 and 418?

Answer: LCM of 415 and 418 is 173470.

2. What are the Factors of 415?

Answer: Factors of 415 are 1, 5, 83, 415. There are 4 integers that are factors of 415. The greatest factor of 415 is 415.

3. 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.

4. How to Find the LCM of 415 and 418?

Answer:

Least Common Multiple of 415 and 418 = 173470

Step 1: Find the prime factorization of 415

415 = 5 x 83

Step 2: Find the prime factorization of 418

418 = 2 x 11 x 19

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

LCM = 173470 = 2 x 5 x 11 x 19 x 83

Step 4: Therefore, the least common multiple of 415 and 418 is 173470.