Least Common Multiple of 1399 and 1407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1399 and 1407 the smallest integer that is 1968393 that is divisible by both numbers.

Least Common Multiple (LCM) of 1399 and 1407 is 1968393.

LCM(1399,1407) = 1968393

LCM of 1399 and 1407

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

LCM of:
and

Least Common Multiple of 1399 and 1407

LCM of 1399 and 1407 is 1968393

Least common multiple can be found by multiplying the highest exponent prime factors of 1399 and 1407. First we will calculate the prime factors of 1399 and 1407.

Prime Factorization of 1399


1399 1399
1

Prime factors of 1399 are 1399. Prime factorization of 1399 in exponential form is:

1399 = 13991

Prime Factorization of 1407


3 1407
7 469
67 67
1

Prime factors of 1407 are 3, 7,67. Prime factorization of 1407 in exponential form is:

1407 = 31×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1399 and 1407.

LCM(1399,1407) = 31×71×671×13991
LCM(1399,1407) = 1968393

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1, 1399

Factors of 1407

List of positive integer factors of 1407 that divides 1407 without a remainder.

1, 3, 7, 21, 67, 201, 469, 1407

Least Common Multiple of 1399 and 1407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1399 and 1407, than apply into the LCM equation.

GCF(1399,1407) = 1
LCM(1399,1407) = ( 1399 × 1407) / 1
LCM(1399,1407) = 1968393 / 1
LCM(1399,1407) = 1968393

Properties of LCM 1399 and 1407

(i) The LCM of 1407 and 1399 is associative

LCM of 1399 and 1407 = LCM of 1407 and 1399

Related Least Common Multiples of 1399

Related Least Common Multiples of 1407

Frequently Asked Questions on LCM of 1399 and 1407

1. What is the LCM of 1399 and 1407?

Answer: LCM of 1399 and 1407 is 1968393.

2. What are the Factors of 1399?

Answer: Factors of 1399 are 1, 1399. There are 2 integers that are factors of 1399. The greatest factor of 1399 is 1399.

3. What are the Factors of 1407?

Answer: Factors of 1407 are 1, 3, 7, 21, 67, 201, 469, 1407. There are 8 integers that are factors of 1407. The greatest factor of 1407 is 1407.

4. How to Find the LCM of 1399 and 1407?

Answer:

Least Common Multiple of 1399 and 1407 = 1968393

Step 1: Find the prime factorization of 1399

1399 = 1399

Step 2: Find the prime factorization of 1407

1407 = 3 x 7 x 67

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

LCM = 1968393 = 3 x 7 x 67 x 1399

Step 4: Therefore, the least common multiple of 1399 and 1407 is 1968393.