Least Common Multiple of 7390 and 7398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7390 and 7398 the smallest integer that is 27335610 that is divisible by both numbers.

Least Common Multiple (LCM) of 7390 and 7398 is 27335610.

LCM(7390,7398) = 27335610

LCM of 7390 and 7398

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

LCM of:
and

Least Common Multiple of 7390 and 7398

LCM of 7390 and 7398 is 27335610

Least common multiple can be found by multiplying the highest exponent prime factors of 7390 and 7398. First we will calculate the prime factors of 7390 and 7398.

Prime Factorization of 7390


2 7390
5 3695
739 739
1

Prime factors of 7390 are 2, 5,739. Prime factorization of 7390 in exponential form is:

7390 = 21×51×7391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7390 and 7398.

LCM(7390,7398) = 21×33×51×1371×7391
LCM(7390,7398) = 27335610

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1, 2, 5, 10, 739, 1478, 3695, 7390

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

Least Common Multiple of 7390 and 7398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7390 and 7398, than apply into the LCM equation.

GCF(7390,7398) = 2
LCM(7390,7398) = ( 7390 × 7398) / 2
LCM(7390,7398) = 54671220 / 2
LCM(7390,7398) = 27335610

Properties of LCM 7390 and 7398

(i) The LCM of 7398 and 7390 is associative

LCM of 7390 and 7398 = LCM of 7398 and 7390

Related Least Common Multiples of 7390

Related Least Common Multiples of 7398

Frequently Asked Questions on LCM of 7390 and 7398

1. What is the LCM of 7390 and 7398?

Answer: LCM of 7390 and 7398 is 27335610.

2. What are the Factors of 7390?

Answer: Factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390. There are 8 integers that are factors of 7390. The greatest factor of 7390 is 7390.

3. 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.

4. How to Find the LCM of 7390 and 7398?

Answer:

Least Common Multiple of 7390 and 7398 = 27335610

Step 1: Find the prime factorization of 7390

7390 = 2 x 5 x 739

Step 2: Find the prime factorization of 7398

7398 = 2 x 3 x 3 x 3 x 137

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

LCM = 27335610 = 2 x 3 x 3 x 3 x 5 x 137 x 739

Step 4: Therefore, the least common multiple of 7390 and 7398 is 27335610.