Least Common Multiple of 411 and 412

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 412 the smallest integer that is 169332 that is divisible by both numbers.

Least Common Multiple (LCM) of 411 and 412 is 169332.

LCM(411,412) = 169332

LCM of 411 and 412

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

LCM of:
and

Least Common Multiple of 411 and 412

LCM of 411 and 412 is 169332

Least common multiple can be found by multiplying the highest exponent prime factors of 411 and 412. First we will calculate the prime factors of 411 and 412.

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 412


2 412
2 206
103 103
1

Prime factors of 412 are 2,103. Prime factorization of 412 in exponential form is:

412 = 22×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 411 and 412.

LCM(411,412) = 22×31×1031×1371
LCM(411,412) = 169332

Factors of 411

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

1, 3, 137, 411

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Least Common Multiple of 411 and 412 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 412, than apply into the LCM equation.

GCF(411,412) = 1
LCM(411,412) = ( 411 × 412) / 1
LCM(411,412) = 169332 / 1
LCM(411,412) = 169332

Properties of LCM 411 and 412

(i) The LCM of 412 and 411 is associative

LCM of 411 and 412 = LCM of 412 and 411

Related Least Common Multiples of 411

Related Least Common Multiples of 412

Frequently Asked Questions on LCM of 411 and 412

1. What is the LCM of 411 and 412?

Answer: LCM of 411 and 412 is 169332.

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 412?

Answer: Factors of 412 are 1, 2, 4, 103, 206, 412. There are 6 integers that are factors of 412. The greatest factor of 412 is 412.

4. How to Find the LCM of 411 and 412?

Answer:

Least Common Multiple of 411 and 412 = 169332

Step 1: Find the prime factorization of 411

411 = 3 x 137

Step 2: Find the prime factorization of 412

412 = 2 x 2 x 103

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

LCM = 169332 = 2 x 2 x 3 x 103 x 137

Step 4: Therefore, the least common multiple of 411 and 412 is 169332.