Least Common Multiple of 7411 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 7411 and 7418 the smallest integer that is 54974798 that is divisible by both numbers.

Least Common Multiple (LCM) of 7411 and 7418 is 54974798.

LCM(7411,7418) = 54974798

LCM of 7411 and 7418

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

LCM of:
and

Least Common Multiple of 7411 and 7418

LCM of 7411 and 7418 is 54974798

Least common multiple can be found by multiplying the highest exponent prime factors of 7411 and 7418. First we will calculate the prime factors of 7411 and 7418.

Prime Factorization of 7411


7411 7411
1

Prime factors of 7411 are 7411. Prime factorization of 7411 in exponential form is:

7411 = 74111

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 7411 and 7418.

LCM(7411,7418) = 21×37091×74111
LCM(7411,7418) = 54974798

Factors of 7411

List of positive integer factors of 7411 that divides 7411 without a remainder.

1, 7411

Factors of 7418

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

1, 2, 3709, 7418

Least Common Multiple of 7411 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 7411 and 7418, than apply into the LCM equation.

GCF(7411,7418) = 1
LCM(7411,7418) = ( 7411 × 7418) / 1
LCM(7411,7418) = 54974798 / 1
LCM(7411,7418) = 54974798

Properties of LCM 7411 and 7418

(i) The LCM of 7418 and 7411 is associative

LCM of 7411 and 7418 = LCM of 7418 and 7411

Related Least Common Multiples of 7411

Related Least Common Multiples of 7418

Frequently Asked Questions on LCM of 7411 and 7418

1. What is the LCM of 7411 and 7418?

Answer: LCM of 7411 and 7418 is 54974798.

2. What are the Factors of 7411?

Answer: Factors of 7411 are 1, 7411. There are 2 integers that are factors of 7411. The greatest factor of 7411 is 7411.

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 7411 and 7418?

Answer:

Least Common Multiple of 7411 and 7418 = 54974798

Step 1: Find the prime factorization of 7411

7411 = 7411

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 = 54974798 = 2 x 3709 x 7411

Step 4: Therefore, the least common multiple of 7411 and 7418 is 54974798.