Least Common Multiple of 7398 and 7406

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 7406 the smallest integer that is 27394794 that is divisible by both numbers.

Least Common Multiple (LCM) of 7398 and 7406 is 27394794.

LCM(7398,7406) = 27394794

LCM of 7398 and 7406

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

LCM of:
and

Least Common Multiple of 7398 and 7406

LCM of 7398 and 7406 is 27394794

Least common multiple can be found by multiplying the highest exponent prime factors of 7398 and 7406. First we will calculate the prime factors of 7398 and 7406.

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 7406


2 7406
7 3703
23 529
23 23
1

Prime factors of 7406 are 2, 7,23. Prime factorization of 7406 in exponential form is:

7406 = 21×71×232

Now multiplying the highest exponent prime factors to calculate the LCM of 7398 and 7406.

LCM(7398,7406) = 21×33×71×232×1371
LCM(7398,7406) = 27394794

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 7406

List of positive integer factors of 7406 that divides 7406 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406

Least Common Multiple of 7398 and 7406 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 7406, than apply into the LCM equation.

GCF(7398,7406) = 2
LCM(7398,7406) = ( 7398 × 7406) / 2
LCM(7398,7406) = 54789588 / 2
LCM(7398,7406) = 27394794

Properties of LCM 7398 and 7406

(i) The LCM of 7406 and 7398 is associative

LCM of 7398 and 7406 = LCM of 7406 and 7398

Related Least Common Multiples of 7398

Related Least Common Multiples of 7406

Frequently Asked Questions on LCM of 7398 and 7406

1. What is the LCM of 7398 and 7406?

Answer: LCM of 7398 and 7406 is 27394794.

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 7406?

Answer: Factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406. There are 12 integers that are factors of 7406. The greatest factor of 7406 is 7406.

4. How to Find the LCM of 7398 and 7406?

Answer:

Least Common Multiple of 7398 and 7406 = 27394794

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 7406

7406 = 2 x 7 x 23 x 23

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

LCM = 27394794 = 2 x 3 x 3 x 3 x 7 x 23 x 23 x 137

Step 4: Therefore, the least common multiple of 7398 and 7406 is 27394794.