Least Common Multiple of 7398 and 7404

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 7404 the smallest integer that is 9129132 that is divisible by both numbers.

Least Common Multiple (LCM) of 7398 and 7404 is 9129132.

LCM(7398,7404) = 9129132

LCM of 7398 and 7404

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

LCM of:
and

Least Common Multiple of 7398 and 7404

LCM of 7398 and 7404 is 9129132

Least common multiple can be found by multiplying the highest exponent prime factors of 7398 and 7404. First we will calculate the prime factors of 7398 and 7404.

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 7404


2 7404
2 3702
3 1851
617 617
1

Prime factors of 7404 are 2, 3,617. Prime factorization of 7404 in exponential form is:

7404 = 22×31×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 7398 and 7404.

LCM(7398,7404) = 22×33×1371×6171
LCM(7398,7404) = 9129132

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 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404

Least Common Multiple of 7398 and 7404 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 7404, than apply into the LCM equation.

GCF(7398,7404) = 6
LCM(7398,7404) = ( 7398 × 7404) / 6
LCM(7398,7404) = 54774792 / 6
LCM(7398,7404) = 9129132

Properties of LCM 7398 and 7404

(i) The LCM of 7404 and 7398 is associative

LCM of 7398 and 7404 = LCM of 7404 and 7398

Related Least Common Multiples of 7398

Related Least Common Multiples of 7404

Frequently Asked Questions on LCM of 7398 and 7404

1. What is the LCM of 7398 and 7404?

Answer: LCM of 7398 and 7404 is 9129132.

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 7404?

Answer: Factors of 7404 are 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404. There are 12 integers that are factors of 7404. The greatest factor of 7404 is 7404.

4. How to Find the LCM of 7398 and 7404?

Answer:

Least Common Multiple of 7398 and 7404 = 9129132

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 7404

7404 = 2 x 2 x 3 x 617

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

LCM = 9129132 = 2 x 2 x 3 x 3 x 3 x 137 x 617

Step 4: Therefore, the least common multiple of 7398 and 7404 is 9129132.