Least Common Multiple of 402 and 406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 402 and 406 the smallest integer that is 81606 that is divisible by both numbers.

Least Common Multiple (LCM) of 402 and 406 is 81606.

LCM(402,406) = 81606

LCM of 402 and 406

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

LCM of:
and

Least Common Multiple of 402 and 406

LCM of 402 and 406 is 81606

Least common multiple can be found by multiplying the highest exponent prime factors of 402 and 406. First we will calculate the prime factors of 402 and 406.

Prime Factorization of 402


2 402
3 201
67 67
1

Prime factors of 402 are 2, 3,67. Prime factorization of 402 in exponential form is:

402 = 21×31×671

Prime Factorization of 406


2 406
7 203
29 29
1

Prime factors of 406 are 2, 7,29. Prime factorization of 406 in exponential form is:

406 = 21×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 402 and 406.

LCM(402,406) = 21×31×71×291×671
LCM(402,406) = 81606

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Least Common Multiple of 402 and 406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 402 and 406, than apply into the LCM equation.

GCF(402,406) = 2
LCM(402,406) = ( 402 × 406) / 2
LCM(402,406) = 163212 / 2
LCM(402,406) = 81606

Properties of LCM 402 and 406

(i) The LCM of 406 and 402 is associative

LCM of 402 and 406 = LCM of 406 and 402

Related Least Common Multiples of 402

Related Least Common Multiples of 406

Frequently Asked Questions on LCM of 402 and 406

1. What is the LCM of 402 and 406?

Answer: LCM of 402 and 406 is 81606.

2. What are the Factors of 402?

Answer: Factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402. There are 8 integers that are factors of 402. The greatest factor of 402 is 402.

3. What are the Factors of 406?

Answer: Factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406. There are 8 integers that are factors of 406. The greatest factor of 406 is 406.

4. How to Find the LCM of 402 and 406?

Answer:

Least Common Multiple of 402 and 406 = 81606

Step 1: Find the prime factorization of 402

402 = 2 x 3 x 67

Step 2: Find the prime factorization of 406

406 = 2 x 7 x 29

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

LCM = 81606 = 2 x 3 x 7 x 29 x 67

Step 4: Therefore, the least common multiple of 402 and 406 is 81606.