Least Common Multiple of 5402 and 5407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5402 and 5407 the smallest integer that is 29208614 that is divisible by both numbers.

Least Common Multiple (LCM) of 5402 and 5407 is 29208614.

LCM(5402,5407) = 29208614

LCM of 5402 and 5407

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

LCM of:
and

Least Common Multiple of 5402 and 5407

LCM of 5402 and 5407 is 29208614

Least common multiple can be found by multiplying the highest exponent prime factors of 5402 and 5407. First we will calculate the prime factors of 5402 and 5407.

Prime Factorization of 5402


2 5402
37 2701
73 73
1

Prime factors of 5402 are 2, 37,73. Prime factorization of 5402 in exponential form is:

5402 = 21×371×731

Prime Factorization of 5407


5407 5407
1

Prime factors of 5407 are 5407. Prime factorization of 5407 in exponential form is:

5407 = 54071

Now multiplying the highest exponent prime factors to calculate the LCM of 5402 and 5407.

LCM(5402,5407) = 21×371×731×54071
LCM(5402,5407) = 29208614

Factors of 5402

List of positive integer factors of 5402 that divides 5402 without a remainder.

1, 2, 37, 73, 74, 146, 2701, 5402

Factors of 5407

List of positive integer factors of 5407 that divides 5407 without a remainder.

1, 5407

Least Common Multiple of 5402 and 5407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5402 and 5407, than apply into the LCM equation.

GCF(5402,5407) = 1
LCM(5402,5407) = ( 5402 × 5407) / 1
LCM(5402,5407) = 29208614 / 1
LCM(5402,5407) = 29208614

Properties of LCM 5402 and 5407

(i) The LCM of 5407 and 5402 is associative

LCM of 5402 and 5407 = LCM of 5407 and 5402

Related Least Common Multiples of 5402

Related Least Common Multiples of 5407

Frequently Asked Questions on LCM of 5402 and 5407

1. What is the LCM of 5402 and 5407?

Answer: LCM of 5402 and 5407 is 29208614.

2. What are the Factors of 5402?

Answer: Factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402. There are 8 integers that are factors of 5402. The greatest factor of 5402 is 5402.

3. What are the Factors of 5407?

Answer: Factors of 5407 are 1, 5407. There are 2 integers that are factors of 5407. The greatest factor of 5407 is 5407.

4. How to Find the LCM of 5402 and 5407?

Answer:

Least Common Multiple of 5402 and 5407 = 29208614

Step 1: Find the prime factorization of 5402

5402 = 2 x 37 x 73

Step 2: Find the prime factorization of 5407

5407 = 5407

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

LCM = 29208614 = 2 x 37 x 73 x 5407

Step 4: Therefore, the least common multiple of 5402 and 5407 is 29208614.