Least Common Multiple of 412 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 412 and 418 the smallest integer that is 86108 that is divisible by both numbers.

Least Common Multiple (LCM) of 412 and 418 is 86108.

LCM(412,418) = 86108

LCM of 412 and 418

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

LCM of:
and

Least Common Multiple of 412 and 418

LCM of 412 and 418 is 86108

Least common multiple can be found by multiplying the highest exponent prime factors of 412 and 418. First we will calculate the prime factors of 412 and 418.

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 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 412 and 418.

LCM(412,418) = 22×111×191×1031
LCM(412,418) = 86108

Factors of 412

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

1, 2, 4, 103, 206, 412

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 412 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 412 and 418, than apply into the LCM equation.

GCF(412,418) = 2
LCM(412,418) = ( 412 × 418) / 2
LCM(412,418) = 172216 / 2
LCM(412,418) = 86108

Properties of LCM 412 and 418

(i) The LCM of 418 and 412 is associative

LCM of 412 and 418 = LCM of 418 and 412

Related Least Common Multiples of 412

Related Least Common Multiples of 418

Frequently Asked Questions on LCM of 412 and 418

1. What is the LCM of 412 and 418?

Answer: LCM of 412 and 418 is 86108.

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 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 412 and 418?

Answer:

Least Common Multiple of 412 and 418 = 86108

Step 1: Find the prime factorization of 412

412 = 2 x 2 x 103

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 = 86108 = 2 x 2 x 11 x 19 x 103

Step 4: Therefore, the least common multiple of 412 and 418 is 86108.