Least Common Multiple of 5406 and 5412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5406 and 5412 the smallest integer that is 4876212 that is divisible by both numbers.

Least Common Multiple (LCM) of 5406 and 5412 is 4876212.

LCM(5406,5412) = 4876212

LCM of 5406 and 5412

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

LCM of:
and

Least Common Multiple of 5406 and 5412

LCM of 5406 and 5412 is 4876212

Least common multiple can be found by multiplying the highest exponent prime factors of 5406 and 5412. First we will calculate the prime factors of 5406 and 5412.

Prime Factorization of 5406


2 5406
3 2703
17 901
53 53
1

Prime factors of 5406 are 2, 3, 17,53. Prime factorization of 5406 in exponential form is:

5406 = 21×31×171×531

Prime Factorization of 5412


2 5412
2 2706
3 1353
11 451
41 41
1

Prime factors of 5412 are 2, 3, 11,41. Prime factorization of 5412 in exponential form is:

5412 = 22×31×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5406 and 5412.

LCM(5406,5412) = 22×31×111×171×411×531
LCM(5406,5412) = 4876212

Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406

Factors of 5412

List of positive integer factors of 5412 that divides 5412 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412

Least Common Multiple of 5406 and 5412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5406 and 5412, than apply into the LCM equation.

GCF(5406,5412) = 6
LCM(5406,5412) = ( 5406 × 5412) / 6
LCM(5406,5412) = 29257272 / 6
LCM(5406,5412) = 4876212

Properties of LCM 5406 and 5412

(i) The LCM of 5412 and 5406 is associative

LCM of 5406 and 5412 = LCM of 5412 and 5406

Related Least Common Multiples of 5406

Related Least Common Multiples of 5412

Frequently Asked Questions on LCM of 5406 and 5412

1. What is the LCM of 5406 and 5412?

Answer: LCM of 5406 and 5412 is 4876212.

2. What are the Factors of 5406?

Answer: Factors of 5406 are 1, 2, 3, 6, 17, 34, 51, 53, 102, 106, 159, 318, 901, 1802, 2703, 5406. There are 16 integers that are factors of 5406. The greatest factor of 5406 is 5406.

3. What are the Factors of 5412?

Answer: Factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412. There are 24 integers that are factors of 5412. The greatest factor of 5412 is 5412.

4. How to Find the LCM of 5406 and 5412?

Answer:

Least Common Multiple of 5406 and 5412 = 4876212

Step 1: Find the prime factorization of 5406

5406 = 2 x 3 x 17 x 53

Step 2: Find the prime factorization of 5412

5412 = 2 x 2 x 3 x 11 x 41

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

LCM = 4876212 = 2 x 2 x 3 x 11 x 17 x 41 x 53

Step 4: Therefore, the least common multiple of 5406 and 5412 is 4876212.