Least Common Multiple of 415 and 417

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 417 the smallest integer that is 173055 that is divisible by both numbers.

Least Common Multiple (LCM) of 415 and 417 is 173055.

LCM(415,417) = 173055

LCM of 415 and 417

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

LCM of:
and

Least Common Multiple of 415 and 417

LCM of 415 and 417 is 173055

Least common multiple can be found by multiplying the highest exponent prime factors of 415 and 417. First we will calculate the prime factors of 415 and 417.

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 417


3 417
139 139
1

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

417 = 31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 415 and 417.

LCM(415,417) = 31×51×831×1391
LCM(415,417) = 173055

Factors of 415

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

1, 5, 83, 415

Factors of 417

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

1, 3, 139, 417

Least Common Multiple of 415 and 417 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 417, than apply into the LCM equation.

GCF(415,417) = 1
LCM(415,417) = ( 415 × 417) / 1
LCM(415,417) = 173055 / 1
LCM(415,417) = 173055

Properties of LCM 415 and 417

(i) The LCM of 417 and 415 is associative

LCM of 415 and 417 = LCM of 417 and 415

Related Least Common Multiples of 415

Related Least Common Multiples of 417

Frequently Asked Questions on LCM of 415 and 417

1. What is the LCM of 415 and 417?

Answer: LCM of 415 and 417 is 173055.

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 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.

4. How to Find the LCM of 415 and 417?

Answer:

Least Common Multiple of 415 and 417 = 173055

Step 1: Find the prime factorization of 415

415 = 5 x 83

Step 2: Find the prime factorization of 417

417 = 3 x 139

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

LCM = 173055 = 3 x 5 x 83 x 139

Step 4: Therefore, the least common multiple of 415 and 417 is 173055.