Least Common Multiple of 7409 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 7409 and 7415 the smallest integer that is 54937735 that is divisible by both numbers.

Least Common Multiple (LCM) of 7409 and 7415 is 54937735.

LCM(7409,7415) = 54937735

LCM of 7409 and 7415

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

LCM of:
and

Least Common Multiple of 7409 and 7415

LCM of 7409 and 7415 is 54937735

Least common multiple can be found by multiplying the highest exponent prime factors of 7409 and 7415. First we will calculate the prime factors of 7409 and 7415.

Prime Factorization of 7409


31 7409
239 239
1

Prime factors of 7409 are 31,239. Prime factorization of 7409 in exponential form is:

7409 = 311×2391

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 7409 and 7415.

LCM(7409,7415) = 51×311×2391×14831
LCM(7409,7415) = 54937735

Factors of 7409

List of positive integer factors of 7409 that divides 7409 without a remainder.

1, 31, 239, 7409

Factors of 7415

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

1, 5, 1483, 7415

Least Common Multiple of 7409 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 7409 and 7415, than apply into the LCM equation.

GCF(7409,7415) = 1
LCM(7409,7415) = ( 7409 × 7415) / 1
LCM(7409,7415) = 54937735 / 1
LCM(7409,7415) = 54937735

Properties of LCM 7409 and 7415

(i) The LCM of 7415 and 7409 is associative

LCM of 7409 and 7415 = LCM of 7415 and 7409

Related Least Common Multiples of 7409

Related Least Common Multiples of 7415

Frequently Asked Questions on LCM of 7409 and 7415

1. What is the LCM of 7409 and 7415?

Answer: LCM of 7409 and 7415 is 54937735.

2. What are the Factors of 7409?

Answer: Factors of 7409 are 1, 31, 239, 7409. There are 4 integers that are factors of 7409. The greatest factor of 7409 is 7409.

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 7409 and 7415?

Answer:

Least Common Multiple of 7409 and 7415 = 54937735

Step 1: Find the prime factorization of 7409

7409 = 31 x 239

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 = 54937735 = 5 x 31 x 239 x 1483

Step 4: Therefore, the least common multiple of 7409 and 7415 is 54937735.