Least Common Multiple of 402 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 402 and 410 the smallest integer that is 82410 that is divisible by both numbers.

Least Common Multiple (LCM) of 402 and 410 is 82410.

LCM(402,410) = 82410

LCM of 402 and 410

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

LCM of:
and

Least Common Multiple of 402 and 410

LCM of 402 and 410 is 82410

Least common multiple can be found by multiplying the highest exponent prime factors of 402 and 410. First we will calculate the prime factors of 402 and 410.

Prime Factorization of 402


2 402
3 201
67 67
1

Prime factors of 402 are 2, 3,67. Prime factorization of 402 in exponential form is:

402 = 21×31×671

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 402 and 410.

LCM(402,410) = 21×31×51×411×671
LCM(402,410) = 82410

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 402 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 402 and 410, than apply into the LCM equation.

GCF(402,410) = 2
LCM(402,410) = ( 402 × 410) / 2
LCM(402,410) = 164820 / 2
LCM(402,410) = 82410

Properties of LCM 402 and 410

(i) The LCM of 410 and 402 is associative

LCM of 402 and 410 = LCM of 410 and 402

Related Least Common Multiples of 402

Related Least Common Multiples of 410

Frequently Asked Questions on LCM of 402 and 410

1. What is the LCM of 402 and 410?

Answer: LCM of 402 and 410 is 82410.

2. What are the Factors of 402?

Answer: Factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402. There are 8 integers that are factors of 402. The greatest factor of 402 is 402.

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 402 and 410?

Answer:

Least Common Multiple of 402 and 410 = 82410

Step 1: Find the prime factorization of 402

402 = 2 x 3 x 67

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 = 82410 = 2 x 3 x 5 x 41 x 67

Step 4: Therefore, the least common multiple of 402 and 410 is 82410.