Least Common Multiple of 1402 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 1402 and 1407 the smallest integer that is 1972614 that is divisible by both numbers.

Least Common Multiple (LCM) of 1402 and 1407 is 1972614.

LCM(1402,1407) = 1972614

LCM of 1402 and 1407

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

LCM of:
and

Least Common Multiple of 1402 and 1407

LCM of 1402 and 1407 is 1972614

Least common multiple can be found by multiplying the highest exponent prime factors of 1402 and 1407. First we will calculate the prime factors of 1402 and 1407.

Prime Factorization of 1402


2 1402
701 701
1

Prime factors of 1402 are 2,701. Prime factorization of 1402 in exponential form is:

1402 = 21×7011

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 1402 and 1407.

LCM(1402,1407) = 21×31×71×671×7011
LCM(1402,1407) = 1972614

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1, 2, 701, 1402

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 1402 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 1402 and 1407, than apply into the LCM equation.

GCF(1402,1407) = 1
LCM(1402,1407) = ( 1402 × 1407) / 1
LCM(1402,1407) = 1972614 / 1
LCM(1402,1407) = 1972614

Properties of LCM 1402 and 1407

(i) The LCM of 1407 and 1402 is associative

LCM of 1402 and 1407 = LCM of 1407 and 1402

Related Least Common Multiples of 1402

Related Least Common Multiples of 1407

Frequently Asked Questions on LCM of 1402 and 1407

1. What is the LCM of 1402 and 1407?

Answer: LCM of 1402 and 1407 is 1972614.

2. What are the Factors of 1402?

Answer: Factors of 1402 are 1, 2, 701, 1402. There are 4 integers that are factors of 1402. The greatest factor of 1402 is 1402.

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 1402 and 1407?

Answer:

Least Common Multiple of 1402 and 1407 = 1972614

Step 1: Find the prime factorization of 1402

1402 = 2 x 701

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 = 1972614 = 2 x 3 x 7 x 67 x 701

Step 4: Therefore, the least common multiple of 1402 and 1407 is 1972614.