Least Common Multiple of 412 and 416

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 416 the smallest integer that is 42848 that is divisible by both numbers.

Least Common Multiple (LCM) of 412 and 416 is 42848.

LCM(412,416) = 42848

LCM of 412 and 416

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

LCM of:
and

Least Common Multiple of 412 and 416

LCM of 412 and 416 is 42848

Least common multiple can be found by multiplying the highest exponent prime factors of 412 and 416. First we will calculate the prime factors of 412 and 416.

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 416


2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 416 are 2,13. Prime factorization of 416 in exponential form is:

416 = 25×131

Now multiplying the highest exponent prime factors to calculate the LCM of 412 and 416.

LCM(412,416) = 25×131×1031
LCM(412,416) = 42848

Factors of 412

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

1, 2, 4, 103, 206, 412

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Least Common Multiple of 412 and 416 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 416, than apply into the LCM equation.

GCF(412,416) = 4
LCM(412,416) = ( 412 × 416) / 4
LCM(412,416) = 171392 / 4
LCM(412,416) = 42848

Properties of LCM 412 and 416

(i) The LCM of 416 and 412 is associative

LCM of 412 and 416 = LCM of 416 and 412

Related Least Common Multiples of 412

Related Least Common Multiples of 416

Frequently Asked Questions on LCM of 412 and 416

1. What is the LCM of 412 and 416?

Answer: LCM of 412 and 416 is 42848.

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 416?

Answer: Factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. There are 12 integers that are factors of 416. The greatest factor of 416 is 416.

4. How to Find the LCM of 412 and 416?

Answer:

Least Common Multiple of 412 and 416 = 42848

Step 1: Find the prime factorization of 412

412 = 2 x 2 x 103

Step 2: Find the prime factorization of 416

416 = 2 x 2 x 2 x 2 x 2 x 13

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

LCM = 42848 = 2 x 2 x 2 x 2 x 2 x 13 x 103

Step 4: Therefore, the least common multiple of 412 and 416 is 42848.