Least Common Multiple of 400 and 403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 400 and 403 the smallest integer that is 161200 that is divisible by both numbers.

Least Common Multiple (LCM) of 400 and 403 is 161200.

LCM(400,403) = 161200

LCM of 400 and 403

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

LCM of:
and

Least Common Multiple of 400 and 403

LCM of 400 and 403 is 161200

Least common multiple can be found by multiplying the highest exponent prime factors of 400 and 403. First we will calculate the prime factors of 400 and 403.

Prime Factorization of 400


2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 400 are 2,5. Prime factorization of 400 in exponential form is:

400 = 24×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 400 and 403.

LCM(400,403) = 24×52×131×311
LCM(400,403) = 161200

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Factors of 403

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

1, 13, 31, 403

Least Common Multiple of 400 and 403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 400 and 403, than apply into the LCM equation.

GCF(400,403) = 1
LCM(400,403) = ( 400 × 403) / 1
LCM(400,403) = 161200 / 1
LCM(400,403) = 161200

Properties of LCM 400 and 403

(i) The LCM of 403 and 400 is associative

LCM of 400 and 403 = LCM of 403 and 400

Related Least Common Multiples of 400

Related Least Common Multiples of 403

Frequently Asked Questions on LCM of 400 and 403

1. What is the LCM of 400 and 403?

Answer: LCM of 400 and 403 is 161200.

2. What are the Factors of 400?

Answer: Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. There are 15 integers that are factors of 400. The greatest factor of 400 is 400.

3. 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.

4. How to Find the LCM of 400 and 403?

Answer:

Least Common Multiple of 400 and 403 = 161200

Step 1: Find the prime factorization of 400

400 = 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 403

403 = 13 x 31

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

LCM = 161200 = 2 x 2 x 2 x 2 x 5 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 400 and 403 is 161200.