Least Common Multiple of 7418 and 7424

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 7424 the smallest integer that is 27535616 that is divisible by both numbers.

Least Common Multiple (LCM) of 7418 and 7424 is 27535616.

LCM(7418,7424) = 27535616

LCM of 7418 and 7424

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

LCM of:
and

Least Common Multiple of 7418 and 7424

LCM of 7418 and 7424 is 27535616

Least common multiple can be found by multiplying the highest exponent prime factors of 7418 and 7424. First we will calculate the prime factors of 7418 and 7424.

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 7424


2 7424
2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 7424 are 2,29. Prime factorization of 7424 in exponential form is:

7424 = 28×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7418 and 7424.

LCM(7418,7424) = 28×291×37091
LCM(7418,7424) = 27535616

Factors of 7418

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

1, 2, 3709, 7418

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424

Least Common Multiple of 7418 and 7424 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 7424, than apply into the LCM equation.

GCF(7418,7424) = 2
LCM(7418,7424) = ( 7418 × 7424) / 2
LCM(7418,7424) = 55071232 / 2
LCM(7418,7424) = 27535616

Properties of LCM 7418 and 7424

(i) The LCM of 7424 and 7418 is associative

LCM of 7418 and 7424 = LCM of 7424 and 7418

Related Least Common Multiples of 7418

Related Least Common Multiples of 7424

Frequently Asked Questions on LCM of 7418 and 7424

1. What is the LCM of 7418 and 7424?

Answer: LCM of 7418 and 7424 is 27535616.

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 7424?

Answer: Factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424. There are 18 integers that are factors of 7424. The greatest factor of 7424 is 7424.

4. How to Find the LCM of 7418 and 7424?

Answer:

Least Common Multiple of 7418 and 7424 = 27535616

Step 1: Find the prime factorization of 7418

7418 = 2 x 3709

Step 2: Find the prime factorization of 7424

7424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

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

LCM = 27535616 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29 x 3709

Step 4: Therefore, the least common multiple of 7418 and 7424 is 27535616.