Least Common Multiple of 7426 and 7431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7426 and 7431 the smallest integer that is 55182606 that is divisible by both numbers.

Least Common Multiple (LCM) of 7426 and 7431 is 55182606.

LCM(7426,7431) = 55182606

LCM of 7426 and 7431

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

LCM of:
and

Least Common Multiple of 7426 and 7431

LCM of 7426 and 7431 is 55182606

Least common multiple can be found by multiplying the highest exponent prime factors of 7426 and 7431. First we will calculate the prime factors of 7426 and 7431.

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

Prime Factorization of 7431


3 7431
2477 2477
1

Prime factors of 7431 are 3,2477. Prime factorization of 7431 in exponential form is:

7431 = 31×24771

Now multiplying the highest exponent prime factors to calculate the LCM of 7426 and 7431.

LCM(7426,7431) = 21×31×471×791×24771
LCM(7426,7431) = 55182606

Factors of 7426

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

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

Factors of 7431

List of positive integer factors of 7431 that divides 7431 without a remainder.

1, 3, 2477, 7431

Least Common Multiple of 7426 and 7431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7426 and 7431, than apply into the LCM equation.

GCF(7426,7431) = 1
LCM(7426,7431) = ( 7426 × 7431) / 1
LCM(7426,7431) = 55182606 / 1
LCM(7426,7431) = 55182606

Properties of LCM 7426 and 7431

(i) The LCM of 7431 and 7426 is associative

LCM of 7426 and 7431 = LCM of 7431 and 7426

Related Least Common Multiples of 7426

Related Least Common Multiples of 7431

Frequently Asked Questions on LCM of 7426 and 7431

1. What is the LCM of 7426 and 7431?

Answer: LCM of 7426 and 7431 is 55182606.

2. 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.

3. What are the Factors of 7431?

Answer: Factors of 7431 are 1, 3, 2477, 7431. There are 4 integers that are factors of 7431. The greatest factor of 7431 is 7431.

4. How to Find the LCM of 7426 and 7431?

Answer:

Least Common Multiple of 7426 and 7431 = 55182606

Step 1: Find the prime factorization of 7426

7426 = 2 x 47 x 79

Step 2: Find the prime factorization of 7431

7431 = 3 x 2477

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

LCM = 55182606 = 2 x 3 x 47 x 79 x 2477

Step 4: Therefore, the least common multiple of 7426 and 7431 is 55182606.