Least Common Multiple of 1393 and 1400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1393 and 1400 the smallest integer that is 278600 that is divisible by both numbers.

Least Common Multiple (LCM) of 1393 and 1400 is 278600.

LCM(1393,1400) = 278600

LCM of 1393 and 1400

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

LCM of:
and

Least Common Multiple of 1393 and 1400

LCM of 1393 and 1400 is 278600

Least common multiple can be found by multiplying the highest exponent prime factors of 1393 and 1400. First we will calculate the prime factors of 1393 and 1400.

Prime Factorization of 1393


7 1393
199 199
1

Prime factors of 1393 are 7,199. Prime factorization of 1393 in exponential form is:

1393 = 71×1991

Prime Factorization of 1400


2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 1400 are 2, 5,7. Prime factorization of 1400 in exponential form is:

1400 = 23×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1393 and 1400.

LCM(1393,1400) = 23×52×71×1991
LCM(1393,1400) = 278600

Factors of 1393

List of positive integer factors of 1393 that divides 1393 without a remainder.

1, 7, 199, 1393

Factors of 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400

Least Common Multiple of 1393 and 1400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1393 and 1400, than apply into the LCM equation.

GCF(1393,1400) = 7
LCM(1393,1400) = ( 1393 × 1400) / 7
LCM(1393,1400) = 1950200 / 7
LCM(1393,1400) = 278600

Properties of LCM 1393 and 1400

(i) The LCM of 1400 and 1393 is associative

LCM of 1393 and 1400 = LCM of 1400 and 1393

Related Least Common Multiples of 1393

Related Least Common Multiples of 1400

Frequently Asked Questions on LCM of 1393 and 1400

1. What is the LCM of 1393 and 1400?

Answer: LCM of 1393 and 1400 is 278600.

2. What are the Factors of 1393?

Answer: Factors of 1393 are 1, 7, 199, 1393. There are 4 integers that are factors of 1393. The greatest factor of 1393 is 1393.

3. What are the Factors of 1400?

Answer: Factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400. There are 24 integers that are factors of 1400. The greatest factor of 1400 is 1400.

4. How to Find the LCM of 1393 and 1400?

Answer:

Least Common Multiple of 1393 and 1400 = 278600

Step 1: Find the prime factorization of 1393

1393 = 7 x 199

Step 2: Find the prime factorization of 1400

1400 = 2 x 2 x 2 x 5 x 5 x 7

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

LCM = 278600 = 2 x 2 x 2 x 5 x 5 x 7 x 199

Step 4: Therefore, the least common multiple of 1393 and 1400 is 278600.