Least Common Multiple of 7407 and 7415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7407 and 7415 the smallest integer that is 54922905 that is divisible by both numbers.

Least Common Multiple (LCM) of 7407 and 7415 is 54922905.

LCM(7407,7415) = 54922905

LCM of 7407 and 7415

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

LCM of:
and

Least Common Multiple of 7407 and 7415

LCM of 7407 and 7415 is 54922905

Least common multiple can be found by multiplying the highest exponent prime factors of 7407 and 7415. First we will calculate the prime factors of 7407 and 7415.

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

Prime Factorization of 7415


5 7415
1483 1483
1

Prime factors of 7415 are 5,1483. Prime factorization of 7415 in exponential form is:

7415 = 51×14831

Now multiplying the highest exponent prime factors to calculate the LCM of 7407 and 7415.

LCM(7407,7415) = 32×51×8231×14831
LCM(7407,7415) = 54922905

Factors of 7407

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

1, 3, 9, 823, 2469, 7407

Factors of 7415

List of positive integer factors of 7415 that divides 7415 without a remainder.

1, 5, 1483, 7415

Least Common Multiple of 7407 and 7415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7407 and 7415, than apply into the LCM equation.

GCF(7407,7415) = 1
LCM(7407,7415) = ( 7407 × 7415) / 1
LCM(7407,7415) = 54922905 / 1
LCM(7407,7415) = 54922905

Properties of LCM 7407 and 7415

(i) The LCM of 7415 and 7407 is associative

LCM of 7407 and 7415 = LCM of 7415 and 7407

Related Least Common Multiples of 7407

Related Least Common Multiples of 7415

Frequently Asked Questions on LCM of 7407 and 7415

1. What is the LCM of 7407 and 7415?

Answer: LCM of 7407 and 7415 is 54922905.

2. 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.

3. What are the Factors of 7415?

Answer: Factors of 7415 are 1, 5, 1483, 7415. There are 4 integers that are factors of 7415. The greatest factor of 7415 is 7415.

4. How to Find the LCM of 7407 and 7415?

Answer:

Least Common Multiple of 7407 and 7415 = 54922905

Step 1: Find the prime factorization of 7407

7407 = 3 x 3 x 823

Step 2: Find the prime factorization of 7415

7415 = 5 x 1483

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

LCM = 54922905 = 3 x 3 x 5 x 823 x 1483

Step 4: Therefore, the least common multiple of 7407 and 7415 is 54922905.