Least Common Multiple of 404 and 410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 404 and 410 the smallest integer that is 82820 that is divisible by both numbers.

Least Common Multiple (LCM) of 404 and 410 is 82820.

LCM(404,410) = 82820

LCM of 404 and 410

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

LCM of:
and

Least Common Multiple of 404 and 410

LCM of 404 and 410 is 82820

Least common multiple can be found by multiplying the highest exponent prime factors of 404 and 410. First we will calculate the prime factors of 404 and 410.

Prime Factorization of 404


2 404
2 202
101 101
1

Prime factors of 404 are 2,101. Prime factorization of 404 in exponential form is:

404 = 22×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 404 and 410.

LCM(404,410) = 22×51×411×1011
LCM(404,410) = 82820

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Factors of 410

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

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

Least Common Multiple of 404 and 410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 404 and 410, than apply into the LCM equation.

GCF(404,410) = 2
LCM(404,410) = ( 404 × 410) / 2
LCM(404,410) = 165640 / 2
LCM(404,410) = 82820

Properties of LCM 404 and 410

(i) The LCM of 410 and 404 is associative

LCM of 404 and 410 = LCM of 410 and 404

Related Least Common Multiples of 404

Related Least Common Multiples of 410

Frequently Asked Questions on LCM of 404 and 410

1. What is the LCM of 404 and 410?

Answer: LCM of 404 and 410 is 82820.

2. What are the Factors of 404?

Answer: Factors of 404 are 1, 2, 4, 101, 202, 404. There are 6 integers that are factors of 404. The greatest factor of 404 is 404.

3. 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.

4. How to Find the LCM of 404 and 410?

Answer:

Least Common Multiple of 404 and 410 = 82820

Step 1: Find the prime factorization of 404

404 = 2 x 2 x 101

Step 2: Find the prime factorization of 410

410 = 2 x 5 x 41

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

LCM = 82820 = 2 x 2 x 5 x 41 x 101

Step 4: Therefore, the least common multiple of 404 and 410 is 82820.