Least Common Multiple of 409 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 409 and 411 the smallest integer that is 168099 that is divisible by both numbers.

Least Common Multiple (LCM) of 409 and 411 is 168099.

LCM(409,411) = 168099

LCM of 409 and 411

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

LCM of:
and

Least Common Multiple of 409 and 411

LCM of 409 and 411 is 168099

Least common multiple can be found by multiplying the highest exponent prime factors of 409 and 411. First we will calculate the prime factors of 409 and 411.

Prime Factorization of 409


409 409
1

Prime factors of 409 are 409. Prime factorization of 409 in exponential form is:

409 = 4091

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 409 and 411.

LCM(409,411) = 31×1371×4091
LCM(409,411) = 168099

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1, 409

Factors of 411

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

1, 3, 137, 411

Least Common Multiple of 409 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 409 and 411, than apply into the LCM equation.

GCF(409,411) = 1
LCM(409,411) = ( 409 × 411) / 1
LCM(409,411) = 168099 / 1
LCM(409,411) = 168099

Properties of LCM 409 and 411

(i) The LCM of 411 and 409 is associative

LCM of 409 and 411 = LCM of 411 and 409

Related Least Common Multiples of 409

Related Least Common Multiples of 411

Frequently Asked Questions on LCM of 409 and 411

1. What is the LCM of 409 and 411?

Answer: LCM of 409 and 411 is 168099.

2. What are the Factors of 409?

Answer: Factors of 409 are 1, 409. There are 2 integers that are factors of 409. The greatest factor of 409 is 409.

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 409 and 411?

Answer:

Least Common Multiple of 409 and 411 = 168099

Step 1: Find the prime factorization of 409

409 = 409

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 = 168099 = 3 x 137 x 409

Step 4: Therefore, the least common multiple of 409 and 411 is 168099.