Least Common Multiple of 7415 and 7420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7415 and 7420 the smallest integer that is 11003860 that is divisible by both numbers.

Least Common Multiple (LCM) of 7415 and 7420 is 11003860.

LCM(7415,7420) = 11003860

LCM of 7415 and 7420

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

LCM of:
and

Least Common Multiple of 7415 and 7420

LCM of 7415 and 7420 is 11003860

Least common multiple can be found by multiplying the highest exponent prime factors of 7415 and 7420. First we will calculate the prime factors of 7415 and 7420.

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

Prime Factorization of 7420


2 7420
2 3710
5 1855
7 371
53 53
1

Prime factors of 7420 are 2, 5, 7,53. Prime factorization of 7420 in exponential form is:

7420 = 22×51×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7415 and 7420.

LCM(7415,7420) = 22×51×71×531×14831
LCM(7415,7420) = 11003860

Factors of 7415

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

1, 5, 1483, 7415

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420

Least Common Multiple of 7415 and 7420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7415 and 7420, than apply into the LCM equation.

GCF(7415,7420) = 5
LCM(7415,7420) = ( 7415 × 7420) / 5
LCM(7415,7420) = 55019300 / 5
LCM(7415,7420) = 11003860

Properties of LCM 7415 and 7420

(i) The LCM of 7420 and 7415 is associative

LCM of 7415 and 7420 = LCM of 7420 and 7415

Related Least Common Multiples of 7415

Related Least Common Multiples of 7420

Frequently Asked Questions on LCM of 7415 and 7420

1. What is the LCM of 7415 and 7420?

Answer: LCM of 7415 and 7420 is 11003860.

2. 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.

3. What are the Factors of 7420?

Answer: Factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420. There are 24 integers that are factors of 7420. The greatest factor of 7420 is 7420.

4. How to Find the LCM of 7415 and 7420?

Answer:

Least Common Multiple of 7415 and 7420 = 11003860

Step 1: Find the prime factorization of 7415

7415 = 5 x 1483

Step 2: Find the prime factorization of 7420

7420 = 2 x 2 x 5 x 7 x 53

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

LCM = 11003860 = 2 x 2 x 5 x 7 x 53 x 1483

Step 4: Therefore, the least common multiple of 7415 and 7420 is 11003860.