Least Common Multiple of 412 and 415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 412 and 415 the smallest integer that is 170980 that is divisible by both numbers.

Least Common Multiple (LCM) of 412 and 415 is 170980.

LCM(412,415) = 170980

LCM of 412 and 415

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

LCM of:
and

Least Common Multiple of 412 and 415

LCM of 412 and 415 is 170980

Least common multiple can be found by multiplying the highest exponent prime factors of 412 and 415. First we will calculate the prime factors of 412 and 415.

Prime Factorization of 412


2 412
2 206
103 103
1

Prime factors of 412 are 2,103. Prime factorization of 412 in exponential form is:

412 = 22×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 412 and 415.

LCM(412,415) = 22×51×831×1031
LCM(412,415) = 170980

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Factors of 415

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

1, 5, 83, 415

Least Common Multiple of 412 and 415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 412 and 415, than apply into the LCM equation.

GCF(412,415) = 1
LCM(412,415) = ( 412 × 415) / 1
LCM(412,415) = 170980 / 1
LCM(412,415) = 170980

Properties of LCM 412 and 415

(i) The LCM of 415 and 412 is associative

LCM of 412 and 415 = LCM of 415 and 412

Related Least Common Multiples of 412

Related Least Common Multiples of 415

Frequently Asked Questions on LCM of 412 and 415

1. What is the LCM of 412 and 415?

Answer: LCM of 412 and 415 is 170980.

2. What are the Factors of 412?

Answer: Factors of 412 are 1, 2, 4, 103, 206, 412. There are 6 integers that are factors of 412. The greatest factor of 412 is 412.

3. 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.

4. How to Find the LCM of 412 and 415?

Answer:

Least Common Multiple of 412 and 415 = 170980

Step 1: Find the prime factorization of 412

412 = 2 x 2 x 103

Step 2: Find the prime factorization of 415

415 = 5 x 83

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

LCM = 170980 = 2 x 2 x 5 x 83 x 103

Step 4: Therefore, the least common multiple of 412 and 415 is 170980.