Least Common Multiple of 7398 and 7402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7398 and 7402 the smallest integer that is 27379998 that is divisible by both numbers.

Least Common Multiple (LCM) of 7398 and 7402 is 27379998.

LCM(7398,7402) = 27379998

LCM of 7398 and 7402

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

LCM of:
and

Least Common Multiple of 7398 and 7402

LCM of 7398 and 7402 is 27379998

Least common multiple can be found by multiplying the highest exponent prime factors of 7398 and 7402. First we will calculate the prime factors of 7398 and 7402.

Prime Factorization of 7398


2 7398
3 3699
3 1233
3 411
137 137
1

Prime factors of 7398 are 2, 3,137. Prime factorization of 7398 in exponential form is:

7398 = 21×33×1371

Prime Factorization of 7402


2 7402
3701 3701
1

Prime factors of 7402 are 2,3701. Prime factorization of 7402 in exponential form is:

7402 = 21×37011

Now multiplying the highest exponent prime factors to calculate the LCM of 7398 and 7402.

LCM(7398,7402) = 21×33×1371×37011
LCM(7398,7402) = 27379998

Factors of 7398

List of positive integer factors of 7398 that divides 7398 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398

Factors of 7402

List of positive integer factors of 7402 that divides 7402 without a remainder.

1, 2, 3701, 7402

Least Common Multiple of 7398 and 7402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7398 and 7402, than apply into the LCM equation.

GCF(7398,7402) = 2
LCM(7398,7402) = ( 7398 × 7402) / 2
LCM(7398,7402) = 54759996 / 2
LCM(7398,7402) = 27379998

Properties of LCM 7398 and 7402

(i) The LCM of 7402 and 7398 is associative

LCM of 7398 and 7402 = LCM of 7402 and 7398

Related Least Common Multiples of 7398

Related Least Common Multiples of 7402

Frequently Asked Questions on LCM of 7398 and 7402

1. What is the LCM of 7398 and 7402?

Answer: LCM of 7398 and 7402 is 27379998.

2. What are the Factors of 7398?

Answer: Factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398. There are 16 integers that are factors of 7398. The greatest factor of 7398 is 7398.

3. What are the Factors of 7402?

Answer: Factors of 7402 are 1, 2, 3701, 7402. There are 4 integers that are factors of 7402. The greatest factor of 7402 is 7402.

4. How to Find the LCM of 7398 and 7402?

Answer:

Least Common Multiple of 7398 and 7402 = 27379998

Step 1: Find the prime factorization of 7398

7398 = 2 x 3 x 3 x 3 x 137

Step 2: Find the prime factorization of 7402

7402 = 2 x 3701

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

LCM = 27379998 = 2 x 3 x 3 x 3 x 137 x 3701

Step 4: Therefore, the least common multiple of 7398 and 7402 is 27379998.