Least Common Multiple of 7418 and 7422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7418 and 7422 the smallest integer that is 27528198 that is divisible by both numbers.

Least Common Multiple (LCM) of 7418 and 7422 is 27528198.

LCM(7418,7422) = 27528198

LCM of 7418 and 7422

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

LCM of:
and

Least Common Multiple of 7418 and 7422

LCM of 7418 and 7422 is 27528198

Least common multiple can be found by multiplying the highest exponent prime factors of 7418 and 7422. First we will calculate the prime factors of 7418 and 7422.

Prime Factorization of 7418


2 7418
3709 3709
1

Prime factors of 7418 are 2,3709. Prime factorization of 7418 in exponential form is:

7418 = 21×37091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7418 and 7422.

LCM(7418,7422) = 21×31×12371×37091
LCM(7418,7422) = 27528198

Factors of 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1, 2, 3709, 7418

Factors of 7422

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

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

Least Common Multiple of 7418 and 7422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7418 and 7422, than apply into the LCM equation.

GCF(7418,7422) = 2
LCM(7418,7422) = ( 7418 × 7422) / 2
LCM(7418,7422) = 55056396 / 2
LCM(7418,7422) = 27528198

Properties of LCM 7418 and 7422

(i) The LCM of 7422 and 7418 is associative

LCM of 7418 and 7422 = LCM of 7422 and 7418

Related Least Common Multiples of 7418

Related Least Common Multiples of 7422

Frequently Asked Questions on LCM of 7418 and 7422

1. What is the LCM of 7418 and 7422?

Answer: LCM of 7418 and 7422 is 27528198.

2. What are the Factors of 7418?

Answer: Factors of 7418 are 1, 2, 3709, 7418. There are 4 integers that are factors of 7418. The greatest factor of 7418 is 7418.

3. 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.

4. How to Find the LCM of 7418 and 7422?

Answer:

Least Common Multiple of 7418 and 7422 = 27528198

Step 1: Find the prime factorization of 7418

7418 = 2 x 3709

Step 2: Find the prime factorization of 7422

7422 = 2 x 3 x 1237

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

LCM = 27528198 = 2 x 3 x 1237 x 3709

Step 4: Therefore, the least common multiple of 7418 and 7422 is 27528198.