Least Common Multiple of 5411 and 5418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5411 and 5418 the smallest integer that is 4188114 that is divisible by both numbers.

Least Common Multiple (LCM) of 5411 and 5418 is 4188114.

LCM(5411,5418) = 4188114

LCM of 5411 and 5418

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

LCM of:
and

Least Common Multiple of 5411 and 5418

LCM of 5411 and 5418 is 4188114

Least common multiple can be found by multiplying the highest exponent prime factors of 5411 and 5418. First we will calculate the prime factors of 5411 and 5418.

Prime Factorization of 5411


7 5411
773 773
1

Prime factors of 5411 are 7,773. Prime factorization of 5411 in exponential form is:

5411 = 71×7731

Prime Factorization of 5418


2 5418
3 2709
3 903
7 301
43 43
1

Prime factors of 5418 are 2, 3, 7,43. Prime factorization of 5418 in exponential form is:

5418 = 21×32×71×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5411 and 5418.

LCM(5411,5418) = 21×32×71×431×7731
LCM(5411,5418) = 4188114

Factors of 5411

List of positive integer factors of 5411 that divides 5411 without a remainder.

1, 7, 773, 5411

Factors of 5418

List of positive integer factors of 5418 that divides 5418 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418

Least Common Multiple of 5411 and 5418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5411 and 5418, than apply into the LCM equation.

GCF(5411,5418) = 7
LCM(5411,5418) = ( 5411 × 5418) / 7
LCM(5411,5418) = 29316798 / 7
LCM(5411,5418) = 4188114

Properties of LCM 5411 and 5418

(i) The LCM of 5418 and 5411 is associative

LCM of 5411 and 5418 = LCM of 5418 and 5411

Related Least Common Multiples of 5411

Related Least Common Multiples of 5418

Frequently Asked Questions on LCM of 5411 and 5418

1. What is the LCM of 5411 and 5418?

Answer: LCM of 5411 and 5418 is 4188114.

2. What are the Factors of 5411?

Answer: Factors of 5411 are 1, 7, 773, 5411. There are 4 integers that are factors of 5411. The greatest factor of 5411 is 5411.

3. What are the Factors of 5418?

Answer: Factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418. There are 24 integers that are factors of 5418. The greatest factor of 5418 is 5418.

4. How to Find the LCM of 5411 and 5418?

Answer:

Least Common Multiple of 5411 and 5418 = 4188114

Step 1: Find the prime factorization of 5411

5411 = 7 x 773

Step 2: Find the prime factorization of 5418

5418 = 2 x 3 x 3 x 7 x 43

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

LCM = 4188114 = 2 x 3 x 3 x 7 x 43 x 773

Step 4: Therefore, the least common multiple of 5411 and 5418 is 4188114.