Least Common Multiple of 7420 and 7426

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 7426 the smallest integer that is 27550460 that is divisible by both numbers.

Least Common Multiple (LCM) of 7420 and 7426 is 27550460.

LCM(7420,7426) = 27550460

LCM of 7420 and 7426

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

LCM of:
and

Least Common Multiple of 7420 and 7426

LCM of 7420 and 7426 is 27550460

Least common multiple can be found by multiplying the highest exponent prime factors of 7420 and 7426. First we will calculate the prime factors of 7420 and 7426.

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 7426


2 7426
47 3713
79 79
1

Prime factors of 7426 are 2, 47,79. Prime factorization of 7426 in exponential form is:

7426 = 21×471×791

Now multiplying the highest exponent prime factors to calculate the LCM of 7420 and 7426.

LCM(7420,7426) = 22×51×71×471×531×791
LCM(7420,7426) = 27550460

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 7426

List of positive integer factors of 7426 that divides 7426 without a remainder.

1, 2, 47, 79, 94, 158, 3713, 7426

Least Common Multiple of 7420 and 7426 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 7426, than apply into the LCM equation.

GCF(7420,7426) = 2
LCM(7420,7426) = ( 7420 × 7426) / 2
LCM(7420,7426) = 55100920 / 2
LCM(7420,7426) = 27550460

Properties of LCM 7420 and 7426

(i) The LCM of 7426 and 7420 is associative

LCM of 7420 and 7426 = LCM of 7426 and 7420

Related Least Common Multiples of 7420

Related Least Common Multiples of 7426

Frequently Asked Questions on LCM of 7420 and 7426

1. What is the LCM of 7420 and 7426?

Answer: LCM of 7420 and 7426 is 27550460.

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 7426?

Answer: Factors of 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426. There are 8 integers that are factors of 7426. The greatest factor of 7426 is 7426.

4. How to Find the LCM of 7420 and 7426?

Answer:

Least Common Multiple of 7420 and 7426 = 27550460

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 7426

7426 = 2 x 47 x 79

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

LCM = 27550460 = 2 x 2 x 5 x 7 x 47 x 53 x 79

Step 4: Therefore, the least common multiple of 7420 and 7426 is 27550460.