Least Common Multiple of 10402 and 10408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10402 and 10408 the smallest integer that is 54132008 that is divisible by both numbers.

Least Common Multiple (LCM) of 10402 and 10408 is 54132008.

LCM(10402,10408) = 54132008

LCM of 10402 and 10408

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

LCM of:
and

Least Common Multiple of 10402 and 10408

LCM of 10402 and 10408 is 54132008

Least common multiple can be found by multiplying the highest exponent prime factors of 10402 and 10408. First we will calculate the prime factors of 10402 and 10408.

Prime Factorization of 10402


2 10402
7 5201
743 743
1

Prime factors of 10402 are 2, 7,743. Prime factorization of 10402 in exponential form is:

10402 = 21×71×7431

Prime Factorization of 10408


2 10408
2 5204
2 2602
1301 1301
1

Prime factors of 10408 are 2,1301. Prime factorization of 10408 in exponential form is:

10408 = 23×13011

Now multiplying the highest exponent prime factors to calculate the LCM of 10402 and 10408.

LCM(10402,10408) = 23×71×7431×13011
LCM(10402,10408) = 54132008

Factors of 10402

List of positive integer factors of 10402 that divides 10402 without a remainder.

1, 2, 7, 14, 743, 1486, 5201, 10402

Factors of 10408

List of positive integer factors of 10408 that divides 10408 without a remainder.

1, 2, 4, 8, 1301, 2602, 5204, 10408

Least Common Multiple of 10402 and 10408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10402 and 10408, than apply into the LCM equation.

GCF(10402,10408) = 2
LCM(10402,10408) = ( 10402 × 10408) / 2
LCM(10402,10408) = 108264016 / 2
LCM(10402,10408) = 54132008

Properties of LCM 10402 and 10408

(i) The LCM of 10408 and 10402 is associative

LCM of 10402 and 10408 = LCM of 10408 and 10402

Related Least Common Multiples of 10402

Related Least Common Multiples of 10408

Frequently Asked Questions on LCM of 10402 and 10408

1. What is the LCM of 10402 and 10408?

Answer: LCM of 10402 and 10408 is 54132008.

2. What are the Factors of 10402?

Answer: Factors of 10402 are 1, 2, 7, 14, 743, 1486, 5201, 10402. There are 8 integers that are factors of 10402. The greatest factor of 10402 is 10402.

3. What are the Factors of 10408?

Answer: Factors of 10408 are 1, 2, 4, 8, 1301, 2602, 5204, 10408. There are 8 integers that are factors of 10408. The greatest factor of 10408 is 10408.

4. How to Find the LCM of 10402 and 10408?

Answer:

Least Common Multiple of 10402 and 10408 = 54132008

Step 1: Find the prime factorization of 10402

10402 = 2 x 7 x 743

Step 2: Find the prime factorization of 10408

10408 = 2 x 2 x 2 x 1301

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

LCM = 54132008 = 2 x 2 x 2 x 7 x 743 x 1301

Step 4: Therefore, the least common multiple of 10402 and 10408 is 54132008.