Least Common Multiple of 7420 and 7425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7420 and 7425 the smallest integer that is 11018700 that is divisible by both numbers.

Least Common Multiple (LCM) of 7420 and 7425 is 11018700.

LCM(7420,7425) = 11018700

LCM of 7420 and 7425

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

LCM of:
and

Least Common Multiple of 7420 and 7425

LCM of 7420 and 7425 is 11018700

Least common multiple can be found by multiplying the highest exponent prime factors of 7420 and 7425. First we will calculate the prime factors of 7420 and 7425.

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

Prime Factorization of 7425


3 7425
3 2475
3 825
5 275
5 55
11 11
1

Prime factors of 7425 are 3, 5,11. Prime factorization of 7425 in exponential form is:

7425 = 33×52×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7420 and 7425.

LCM(7420,7425) = 22×33×52×71×111×531
LCM(7420,7425) = 11018700

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

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425

Least Common Multiple of 7420 and 7425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7420 and 7425, than apply into the LCM equation.

GCF(7420,7425) = 5
LCM(7420,7425) = ( 7420 × 7425) / 5
LCM(7420,7425) = 55093500 / 5
LCM(7420,7425) = 11018700

Properties of LCM 7420 and 7425

(i) The LCM of 7425 and 7420 is associative

LCM of 7420 and 7425 = LCM of 7425 and 7420

Related Least Common Multiples of 7420

Related Least Common Multiples of 7425

Frequently Asked Questions on LCM of 7420 and 7425

1. What is the LCM of 7420 and 7425?

Answer: LCM of 7420 and 7425 is 11018700.

2. 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.

3. What are the Factors of 7425?

Answer: Factors of 7425 are 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425. There are 24 integers that are factors of 7425. The greatest factor of 7425 is 7425.

4. How to Find the LCM of 7420 and 7425?

Answer:

Least Common Multiple of 7420 and 7425 = 11018700

Step 1: Find the prime factorization of 7420

7420 = 2 x 2 x 5 x 7 x 53

Step 2: Find the prime factorization of 7425

7425 = 3 x 3 x 3 x 5 x 5 x 11

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

LCM = 11018700 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 53

Step 4: Therefore, the least common multiple of 7420 and 7425 is 11018700.