Least Common Multiple of 393 and 400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 393 and 400 the smallest integer that is 157200 that is divisible by both numbers.

Least Common Multiple (LCM) of 393 and 400 is 157200.

LCM(393,400) = 157200

LCM of 393 and 400

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

LCM of:
and

Least Common Multiple of 393 and 400

LCM of 393 and 400 is 157200

Least common multiple can be found by multiplying the highest exponent prime factors of 393 and 400. First we will calculate the prime factors of 393 and 400.

Prime Factorization of 393


3 393
131 131
1

Prime factors of 393 are 3,131. Prime factorization of 393 in exponential form is:

393 = 31×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 393 and 400.

LCM(393,400) = 24×31×52×1311
LCM(393,400) = 157200

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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

Least Common Multiple of 393 and 400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 393 and 400, than apply into the LCM equation.

GCF(393,400) = 1
LCM(393,400) = ( 393 × 400) / 1
LCM(393,400) = 157200 / 1
LCM(393,400) = 157200

Properties of LCM 393 and 400

(i) The LCM of 400 and 393 is associative

LCM of 393 and 400 = LCM of 400 and 393

Related Least Common Multiples of 393

Related Least Common Multiples of 400

Frequently Asked Questions on LCM of 393 and 400

1. What is the LCM of 393 and 400?

Answer: LCM of 393 and 400 is 157200.

2. What are the Factors of 393?

Answer: Factors of 393 are 1, 3, 131, 393. There are 4 integers that are factors of 393. The greatest factor of 393 is 393.

3. 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.

4. How to Find the LCM of 393 and 400?

Answer:

Least Common Multiple of 393 and 400 = 157200

Step 1: Find the prime factorization of 393

393 = 3 x 131

Step 2: Find the prime factorization of 400

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

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

LCM = 157200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 131

Step 4: Therefore, the least common multiple of 393 and 400 is 157200.