Least Common Multiple of 403 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 403 and 410 the smallest integer that is 165230 that is divisible by both numbers.

Least Common Multiple (LCM) of 403 and 410 is 165230.

LCM(403,410) = 165230

LCM of 403 and 410

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

LCM of:
and

Least Common Multiple of 403 and 410

LCM of 403 and 410 is 165230

Least common multiple can be found by multiplying the highest exponent prime factors of 403 and 410. First we will calculate the prime factors of 403 and 410.

Prime Factorization of 403


13 403
31 31
1

Prime factors of 403 are 13,31. Prime factorization of 403 in exponential form is:

403 = 131×311

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 403 and 410.

LCM(403,410) = 21×51×131×311×411
LCM(403,410) = 165230

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1, 13, 31, 403

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 403 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 403 and 410, than apply into the LCM equation.

GCF(403,410) = 1
LCM(403,410) = ( 403 × 410) / 1
LCM(403,410) = 165230 / 1
LCM(403,410) = 165230

Properties of LCM 403 and 410

(i) The LCM of 410 and 403 is associative

LCM of 403 and 410 = LCM of 410 and 403

Related Least Common Multiples of 403

Related Least Common Multiples of 410

Frequently Asked Questions on LCM of 403 and 410

1. What is the LCM of 403 and 410?

Answer: LCM of 403 and 410 is 165230.

2. What are the Factors of 403?

Answer: Factors of 403 are 1, 13, 31, 403. There are 4 integers that are factors of 403. The greatest factor of 403 is 403.

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 403 and 410?

Answer:

Least Common Multiple of 403 and 410 = 165230

Step 1: Find the prime factorization of 403

403 = 13 x 31

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 = 165230 = 2 x 5 x 13 x 31 x 41

Step 4: Therefore, the least common multiple of 403 and 410 is 165230.