Least Common Multiple of 7422 and 7430

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 7430 the smallest integer that is 27572730 that is divisible by both numbers.

Least Common Multiple (LCM) of 7422 and 7430 is 27572730.

LCM(7422,7430) = 27572730

LCM of 7422 and 7430

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

LCM of:
and

Least Common Multiple of 7422 and 7430

LCM of 7422 and 7430 is 27572730

Least common multiple can be found by multiplying the highest exponent prime factors of 7422 and 7430. First we will calculate the prime factors of 7422 and 7430.

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 7430


2 7430
5 3715
743 743
1

Prime factors of 7430 are 2, 5,743. Prime factorization of 7430 in exponential form is:

7430 = 21×51×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 7422 and 7430.

LCM(7422,7430) = 21×31×51×7431×12371
LCM(7422,7430) = 27572730

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 7430

List of positive integer factors of 7430 that divides 7430 without a remainder.

1, 2, 5, 10, 743, 1486, 3715, 7430

Least Common Multiple of 7422 and 7430 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 7430, than apply into the LCM equation.

GCF(7422,7430) = 2
LCM(7422,7430) = ( 7422 × 7430) / 2
LCM(7422,7430) = 55145460 / 2
LCM(7422,7430) = 27572730

Properties of LCM 7422 and 7430

(i) The LCM of 7430 and 7422 is associative

LCM of 7422 and 7430 = LCM of 7430 and 7422

Related Least Common Multiples of 7422

Related Least Common Multiples of 7430

Frequently Asked Questions on LCM of 7422 and 7430

1. What is the LCM of 7422 and 7430?

Answer: LCM of 7422 and 7430 is 27572730.

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 7430?

Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.

4. How to Find the LCM of 7422 and 7430?

Answer:

Least Common Multiple of 7422 and 7430 = 27572730

Step 1: Find the prime factorization of 7422

7422 = 2 x 3 x 1237

Step 2: Find the prime factorization of 7430

7430 = 2 x 5 x 743

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

LCM = 27572730 = 2 x 3 x 5 x 743 x 1237

Step 4: Therefore, the least common multiple of 7422 and 7430 is 27572730.