Least Common Multiple of 411 and 413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 411 and 413 the smallest integer that is 169743 that is divisible by both numbers.

Least Common Multiple (LCM) of 411 and 413 is 169743.

LCM(411,413) = 169743

LCM of 411 and 413

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

LCM of:
and

Least Common Multiple of 411 and 413

LCM of 411 and 413 is 169743

Least common multiple can be found by multiplying the highest exponent prime factors of 411 and 413. First we will calculate the prime factors of 411 and 413.

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

Prime Factorization of 413


7 413
59 59
1

Prime factors of 413 are 7,59. Prime factorization of 413 in exponential form is:

413 = 71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 411 and 413.

LCM(411,413) = 31×71×591×1371
LCM(411,413) = 169743

Factors of 411

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

1, 3, 137, 411

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Least Common Multiple of 411 and 413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 411 and 413, than apply into the LCM equation.

GCF(411,413) = 1
LCM(411,413) = ( 411 × 413) / 1
LCM(411,413) = 169743 / 1
LCM(411,413) = 169743

Properties of LCM 411 and 413

(i) The LCM of 413 and 411 is associative

LCM of 411 and 413 = LCM of 413 and 411

Related Least Common Multiples of 411

Related Least Common Multiples of 413

Frequently Asked Questions on LCM of 411 and 413

1. What is the LCM of 411 and 413?

Answer: LCM of 411 and 413 is 169743.

2. 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.

3. What are the Factors of 413?

Answer: Factors of 413 are 1, 7, 59, 413. There are 4 integers that are factors of 413. The greatest factor of 413 is 413.

4. How to Find the LCM of 411 and 413?

Answer:

Least Common Multiple of 411 and 413 = 169743

Step 1: Find the prime factorization of 411

411 = 3 x 137

Step 2: Find the prime factorization of 413

413 = 7 x 59

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

LCM = 169743 = 3 x 7 x 59 x 137

Step 4: Therefore, the least common multiple of 411 and 413 is 169743.