Least Common Multiple of 7422 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 7422 and 7426 the smallest integer that is 27557886 that is divisible by both numbers.

Least Common Multiple (LCM) of 7422 and 7426 is 27557886.

LCM(7422,7426) = 27557886

LCM of 7422 and 7426

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

LCM of:
and

Least Common Multiple of 7422 and 7426

LCM of 7422 and 7426 is 27557886

Least common multiple can be found by multiplying the highest exponent prime factors of 7422 and 7426. First we will calculate the prime factors of 7422 and 7426.

Prime Factorization of 7422


2 7422
3 3711
1237 1237
1

Prime factors of 7422 are 2, 3,1237. Prime factorization of 7422 in exponential form is:

7422 = 21×31×12371

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 7422 and 7426.

LCM(7422,7426) = 21×31×471×791×12371
LCM(7422,7426) = 27557886

Factors of 7422

List of positive integer factors of 7422 that divides 7422 without a remainder.

1, 2, 3, 6, 1237, 2474, 3711, 7422

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 7422 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 7422 and 7426, than apply into the LCM equation.

GCF(7422,7426) = 2
LCM(7422,7426) = ( 7422 × 7426) / 2
LCM(7422,7426) = 55115772 / 2
LCM(7422,7426) = 27557886

Properties of LCM 7422 and 7426

(i) The LCM of 7426 and 7422 is associative

LCM of 7422 and 7426 = LCM of 7426 and 7422

Related Least Common Multiples of 7422

Related Least Common Multiples of 7426

Frequently Asked Questions on LCM of 7422 and 7426

1. What is the LCM of 7422 and 7426?

Answer: LCM of 7422 and 7426 is 27557886.

2. What are the Factors of 7422?

Answer: Factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422. There are 8 integers that are factors of 7422. The greatest factor of 7422 is 7422.

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 7422 and 7426?

Answer:

Least Common Multiple of 7422 and 7426 = 27557886

Step 1: Find the prime factorization of 7422

7422 = 2 x 3 x 1237

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 = 27557886 = 2 x 3 x 47 x 79 x 1237

Step 4: Therefore, the least common multiple of 7422 and 7426 is 27557886.