Least Common Multiple of 1403 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 1403 and 1407 the smallest integer that is 1974021 that is divisible by both numbers.

Least Common Multiple (LCM) of 1403 and 1407 is 1974021.

LCM(1403,1407) = 1974021

LCM of 1403 and 1407

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

LCM of:
and

Least Common Multiple of 1403 and 1407

LCM of 1403 and 1407 is 1974021

Least common multiple can be found by multiplying the highest exponent prime factors of 1403 and 1407. First we will calculate the prime factors of 1403 and 1407.

Prime Factorization of 1403


23 1403
61 61
1

Prime factors of 1403 are 23,61. Prime factorization of 1403 in exponential form is:

1403 = 231×611

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 1403 and 1407.

LCM(1403,1407) = 31×71×231×611×671
LCM(1403,1407) = 1974021

Factors of 1403

List of positive integer factors of 1403 that divides 1403 without a remainder.

1, 23, 61, 1403

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 1403 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 1403 and 1407, than apply into the LCM equation.

GCF(1403,1407) = 1
LCM(1403,1407) = ( 1403 × 1407) / 1
LCM(1403,1407) = 1974021 / 1
LCM(1403,1407) = 1974021

Properties of LCM 1403 and 1407

(i) The LCM of 1407 and 1403 is associative

LCM of 1403 and 1407 = LCM of 1407 and 1403

Related Least Common Multiples of 1403

Related Least Common Multiples of 1407

Frequently Asked Questions on LCM of 1403 and 1407

1. What is the LCM of 1403 and 1407?

Answer: LCM of 1403 and 1407 is 1974021.

2. What are the Factors of 1403?

Answer: Factors of 1403 are 1, 23, 61, 1403. There are 4 integers that are factors of 1403. The greatest factor of 1403 is 1403.

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 1403 and 1407?

Answer:

Least Common Multiple of 1403 and 1407 = 1974021

Step 1: Find the prime factorization of 1403

1403 = 23 x 61

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 = 1974021 = 3 x 7 x 23 x 61 x 67

Step 4: Therefore, the least common multiple of 1403 and 1407 is 1974021.