Least Common Multiple of 7414 and 7418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7414 and 7418 the smallest integer that is 27498526 that is divisible by both numbers.

Least Common Multiple (LCM) of 7414 and 7418 is 27498526.

LCM(7414,7418) = 27498526

LCM of 7414 and 7418

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

LCM of:
and

Least Common Multiple of 7414 and 7418

LCM of 7414 and 7418 is 27498526

Least common multiple can be found by multiplying the highest exponent prime factors of 7414 and 7418. First we will calculate the prime factors of 7414 and 7418.

Prime Factorization of 7414


2 7414
11 3707
337 337
1

Prime factors of 7414 are 2, 11,337. Prime factorization of 7414 in exponential form is:

7414 = 21×111×3371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7414 and 7418.

LCM(7414,7418) = 21×111×3371×37091
LCM(7414,7418) = 27498526

Factors of 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1, 2, 11, 22, 337, 674, 3707, 7414

Factors of 7418

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

1, 2, 3709, 7418

Least Common Multiple of 7414 and 7418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7414 and 7418, than apply into the LCM equation.

GCF(7414,7418) = 2
LCM(7414,7418) = ( 7414 × 7418) / 2
LCM(7414,7418) = 54997052 / 2
LCM(7414,7418) = 27498526

Properties of LCM 7414 and 7418

(i) The LCM of 7418 and 7414 is associative

LCM of 7414 and 7418 = LCM of 7418 and 7414

Related Least Common Multiples of 7414

Related Least Common Multiples of 7418

Frequently Asked Questions on LCM of 7414 and 7418

1. What is the LCM of 7414 and 7418?

Answer: LCM of 7414 and 7418 is 27498526.

2. What are the Factors of 7414?

Answer: Factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414. There are 8 integers that are factors of 7414. The greatest factor of 7414 is 7414.

3. 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.

4. How to Find the LCM of 7414 and 7418?

Answer:

Least Common Multiple of 7414 and 7418 = 27498526

Step 1: Find the prime factorization of 7414

7414 = 2 x 11 x 337

Step 2: Find the prime factorization of 7418

7418 = 2 x 3709

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

LCM = 27498526 = 2 x 11 x 337 x 3709

Step 4: Therefore, the least common multiple of 7414 and 7418 is 27498526.