Least Common Multiple of 406 and 411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 406 and 411 the smallest integer that is 166866 that is divisible by both numbers.

Least Common Multiple (LCM) of 406 and 411 is 166866.

LCM(406,411) = 166866

LCM of 406 and 411

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

LCM of:
and

Least Common Multiple of 406 and 411

LCM of 406 and 411 is 166866

Least common multiple can be found by multiplying the highest exponent prime factors of 406 and 411. First we will calculate the prime factors of 406 and 411.

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

Prime Factorization of 411


3 411
137 137
1

Prime factors of 411 are 3,137. Prime factorization of 411 in exponential form is:

411 = 31×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 406 and 411.

LCM(406,411) = 21×31×71×291×1371
LCM(406,411) = 166866

Factors of 406

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

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

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Least Common Multiple of 406 and 411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 406 and 411, than apply into the LCM equation.

GCF(406,411) = 1
LCM(406,411) = ( 406 × 411) / 1
LCM(406,411) = 166866 / 1
LCM(406,411) = 166866

Properties of LCM 406 and 411

(i) The LCM of 411 and 406 is associative

LCM of 406 and 411 = LCM of 411 and 406

Related Least Common Multiples of 406

Related Least Common Multiples of 411

Frequently Asked Questions on LCM of 406 and 411

1. What is the LCM of 406 and 411?

Answer: LCM of 406 and 411 is 166866.

2. 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.

3. What are the Factors of 411?

Answer: Factors of 411 are 1, 3, 137, 411. There are 4 integers that are factors of 411. The greatest factor of 411 is 411.

4. How to Find the LCM of 406 and 411?

Answer:

Least Common Multiple of 406 and 411 = 166866

Step 1: Find the prime factorization of 406

406 = 2 x 7 x 29

Step 2: Find the prime factorization of 411

411 = 3 x 137

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

LCM = 166866 = 2 x 3 x 7 x 29 x 137

Step 4: Therefore, the least common multiple of 406 and 411 is 166866.