Least Common Multiple of 405 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 405 and 411 the smallest integer that is 55485 that is divisible by both numbers.

Least Common Multiple (LCM) of 405 and 411 is 55485.

LCM(405,411) = 55485

LCM of 405 and 411

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

LCM of:
and

Least Common Multiple of 405 and 411

LCM of 405 and 411 is 55485

Least common multiple can be found by multiplying the highest exponent prime factors of 405 and 411. First we will calculate the prime factors of 405 and 411.

Prime Factorization of 405


3 405
3 135
3 45
3 15
5 5
1

Prime factors of 405 are 3,5. Prime factorization of 405 in exponential form is:

405 = 34×51

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 405 and 411.

LCM(405,411) = 34×51×1371
LCM(405,411) = 55485

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Factors of 411

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

1, 3, 137, 411

Least Common Multiple of 405 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 405 and 411, than apply into the LCM equation.

GCF(405,411) = 3
LCM(405,411) = ( 405 × 411) / 3
LCM(405,411) = 166455 / 3
LCM(405,411) = 55485

Properties of LCM 405 and 411

(i) The LCM of 411 and 405 is associative

LCM of 405 and 411 = LCM of 411 and 405

Related Least Common Multiples of 405

Related Least Common Multiples of 411

Frequently Asked Questions on LCM of 405 and 411

1. What is the LCM of 405 and 411?

Answer: LCM of 405 and 411 is 55485.

2. What are the Factors of 405?

Answer: Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. There are 10 integers that are factors of 405. The greatest factor of 405 is 405.

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 405 and 411?

Answer:

Least Common Multiple of 405 and 411 = 55485

Step 1: Find the prime factorization of 405

405 = 3 x 3 x 3 x 3 x 5

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 = 55485 = 3 x 3 x 3 x 3 x 5 x 137

Step 4: Therefore, the least common multiple of 405 and 411 is 55485.