Least Common Multiple of 7399 and 7405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7399 and 7405 the smallest integer that is 54789595 that is divisible by both numbers.

Least Common Multiple (LCM) of 7399 and 7405 is 54789595.

LCM(7399,7405) = 54789595

LCM of 7399 and 7405

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

LCM of:
and

Least Common Multiple of 7399 and 7405

LCM of 7399 and 7405 is 54789595

Least common multiple can be found by multiplying the highest exponent prime factors of 7399 and 7405. First we will calculate the prime factors of 7399 and 7405.

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

Prime Factorization of 7405


5 7405
1481 1481
1

Prime factors of 7405 are 5,1481. Prime factorization of 7405 in exponential form is:

7405 = 51×14811

Now multiplying the highest exponent prime factors to calculate the LCM of 7399 and 7405.

LCM(7399,7405) = 51×72×1511×14811
LCM(7399,7405) = 54789595

Factors of 7399

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

1, 7, 49, 151, 1057, 7399

Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1, 5, 1481, 7405

Least Common Multiple of 7399 and 7405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7399 and 7405, than apply into the LCM equation.

GCF(7399,7405) = 1
LCM(7399,7405) = ( 7399 × 7405) / 1
LCM(7399,7405) = 54789595 / 1
LCM(7399,7405) = 54789595

Properties of LCM 7399 and 7405

(i) The LCM of 7405 and 7399 is associative

LCM of 7399 and 7405 = LCM of 7405 and 7399

Related Least Common Multiples of 7399

Related Least Common Multiples of 7405

Frequently Asked Questions on LCM of 7399 and 7405

1. What is the LCM of 7399 and 7405?

Answer: LCM of 7399 and 7405 is 54789595.

2. 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.

3. What are the Factors of 7405?

Answer: Factors of 7405 are 1, 5, 1481, 7405. There are 4 integers that are factors of 7405. The greatest factor of 7405 is 7405.

4. How to Find the LCM of 7399 and 7405?

Answer:

Least Common Multiple of 7399 and 7405 = 54789595

Step 1: Find the prime factorization of 7399

7399 = 7 x 7 x 151

Step 2: Find the prime factorization of 7405

7405 = 5 x 1481

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

LCM = 54789595 = 5 x 7 x 7 x 151 x 1481

Step 4: Therefore, the least common multiple of 7399 and 7405 is 54789595.