Least Common Multiple of 7394 and 7399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7394 and 7399 the smallest integer that is 54708206 that is divisible by both numbers.

Least Common Multiple (LCM) of 7394 and 7399 is 54708206.

LCM(7394,7399) = 54708206

LCM of 7394 and 7399

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

LCM of:
and

Least Common Multiple of 7394 and 7399

LCM of 7394 and 7399 is 54708206

Least common multiple can be found by multiplying the highest exponent prime factors of 7394 and 7399. First we will calculate the prime factors of 7394 and 7399.

Prime Factorization of 7394


2 7394
3697 3697
1

Prime factors of 7394 are 2,3697. Prime factorization of 7394 in exponential form is:

7394 = 21×36971

Prime Factorization of 7399


7 7399
7 1057
151 151
1

Prime factors of 7399 are 7,151. Prime factorization of 7399 in exponential form is:

7399 = 72×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 7394 and 7399.

LCM(7394,7399) = 21×72×1511×36971
LCM(7394,7399) = 54708206

Factors of 7394

List of positive integer factors of 7394 that divides 7394 without a remainder.

1, 2, 3697, 7394

Factors of 7399

List of positive integer factors of 7399 that divides 7399 without a remainder.

1, 7, 49, 151, 1057, 7399

Least Common Multiple of 7394 and 7399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7394 and 7399, than apply into the LCM equation.

GCF(7394,7399) = 1
LCM(7394,7399) = ( 7394 × 7399) / 1
LCM(7394,7399) = 54708206 / 1
LCM(7394,7399) = 54708206

Properties of LCM 7394 and 7399

(i) The LCM of 7399 and 7394 is associative

LCM of 7394 and 7399 = LCM of 7399 and 7394

Related Least Common Multiples of 7394

Related Least Common Multiples of 7399

Frequently Asked Questions on LCM of 7394 and 7399

1. What is the LCM of 7394 and 7399?

Answer: LCM of 7394 and 7399 is 54708206.

2. What are the Factors of 7394?

Answer: Factors of 7394 are 1, 2, 3697, 7394. There are 4 integers that are factors of 7394. The greatest factor of 7394 is 7394.

3. What are the Factors of 7399?

Answer: Factors of 7399 are 1, 7, 49, 151, 1057, 7399. There are 6 integers that are factors of 7399. The greatest factor of 7399 is 7399.

4. How to Find the LCM of 7394 and 7399?

Answer:

Least Common Multiple of 7394 and 7399 = 54708206

Step 1: Find the prime factorization of 7394

7394 = 2 x 3697

Step 2: Find the prime factorization of 7399

7399 = 7 x 7 x 151

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

LCM = 54708206 = 2 x 7 x 7 x 151 x 3697

Step 4: Therefore, the least common multiple of 7394 and 7399 is 54708206.