Least Common Multiple of 410 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 410 and 412 the smallest integer that is 84460 that is divisible by both numbers.

Least Common Multiple (LCM) of 410 and 412 is 84460.

LCM(410,412) = 84460

LCM of 410 and 412

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

LCM of:
and

Least Common Multiple of 410 and 412

LCM of 410 and 412 is 84460

Least common multiple can be found by multiplying the highest exponent prime factors of 410 and 412. First we will calculate the prime factors of 410 and 412.

Prime Factorization of 410


2 410
5 205
41 41
1

Prime factors of 410 are 2, 5,41. Prime factorization of 410 in exponential form is:

410 = 21×51×411

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 410 and 412.

LCM(410,412) = 22×51×411×1031
LCM(410,412) = 84460

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

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 410 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 410 and 412, than apply into the LCM equation.

GCF(410,412) = 2
LCM(410,412) = ( 410 × 412) / 2
LCM(410,412) = 168920 / 2
LCM(410,412) = 84460

Properties of LCM 410 and 412

(i) The LCM of 412 and 410 is associative

LCM of 410 and 412 = LCM of 412 and 410

Related Least Common Multiples of 410

Related Least Common Multiples of 412

Frequently Asked Questions on LCM of 410 and 412

1. What is the LCM of 410 and 412?

Answer: LCM of 410 and 412 is 84460.

2. What are the Factors of 410?

Answer: Factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410. There are 8 integers that are factors of 410. The greatest factor of 410 is 410.

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 410 and 412?

Answer:

Least Common Multiple of 410 and 412 = 84460

Step 1: Find the prime factorization of 410

410 = 2 x 5 x 41

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 = 84460 = 2 x 2 x 5 x 41 x 103

Step 4: Therefore, the least common multiple of 410 and 412 is 84460.