Least Common Multiple of 7399 and 7407

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 7407 the smallest integer that is 54804393 that is divisible by both numbers.

Least Common Multiple (LCM) of 7399 and 7407 is 54804393.

LCM(7399,7407) = 54804393

LCM of 7399 and 7407

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

LCM of:
and

Least Common Multiple of 7399 and 7407

LCM of 7399 and 7407 is 54804393

Least common multiple can be found by multiplying the highest exponent prime factors of 7399 and 7407. First we will calculate the prime factors of 7399 and 7407.

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 7407


3 7407
3 2469
823 823
1

Prime factors of 7407 are 3,823. Prime factorization of 7407 in exponential form is:

7407 = 32×8231

Now multiplying the highest exponent prime factors to calculate the LCM of 7399 and 7407.

LCM(7399,7407) = 32×72×1511×8231
LCM(7399,7407) = 54804393

Factors of 7399

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

1, 7, 49, 151, 1057, 7399

Factors of 7407

List of positive integer factors of 7407 that divides 7407 without a remainder.

1, 3, 9, 823, 2469, 7407

Least Common Multiple of 7399 and 7407 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 7407, than apply into the LCM equation.

GCF(7399,7407) = 1
LCM(7399,7407) = ( 7399 × 7407) / 1
LCM(7399,7407) = 54804393 / 1
LCM(7399,7407) = 54804393

Properties of LCM 7399 and 7407

(i) The LCM of 7407 and 7399 is associative

LCM of 7399 and 7407 = LCM of 7407 and 7399

Related Least Common Multiples of 7399

Related Least Common Multiples of 7407

Frequently Asked Questions on LCM of 7399 and 7407

1. What is the LCM of 7399 and 7407?

Answer: LCM of 7399 and 7407 is 54804393.

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 7407?

Answer: Factors of 7407 are 1, 3, 9, 823, 2469, 7407. There are 6 integers that are factors of 7407. The greatest factor of 7407 is 7407.

4. How to Find the LCM of 7399 and 7407?

Answer:

Least Common Multiple of 7399 and 7407 = 54804393

Step 1: Find the prime factorization of 7399

7399 = 7 x 7 x 151

Step 2: Find the prime factorization of 7407

7407 = 3 x 3 x 823

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

LCM = 54804393 = 3 x 3 x 7 x 7 x 151 x 823

Step 4: Therefore, the least common multiple of 7399 and 7407 is 54804393.