Least Common Multiple of 5412 and 5420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5412 and 5420 the smallest integer that is 7333260 that is divisible by both numbers.

Least Common Multiple (LCM) of 5412 and 5420 is 7333260.

LCM(5412,5420) = 7333260

LCM of 5412 and 5420

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

LCM of:
and

Least Common Multiple of 5412 and 5420

LCM of 5412 and 5420 is 7333260

Least common multiple can be found by multiplying the highest exponent prime factors of 5412 and 5420. First we will calculate the prime factors of 5412 and 5420.

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

Prime Factorization of 5420


2 5420
2 2710
5 1355
271 271
1

Prime factors of 5420 are 2, 5,271. Prime factorization of 5420 in exponential form is:

5420 = 22×51×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 5412 and 5420.

LCM(5412,5420) = 22×31×51×111×411×2711
LCM(5412,5420) = 7333260

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

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420

Least Common Multiple of 5412 and 5420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5412 and 5420, than apply into the LCM equation.

GCF(5412,5420) = 4
LCM(5412,5420) = ( 5412 × 5420) / 4
LCM(5412,5420) = 29333040 / 4
LCM(5412,5420) = 7333260

Properties of LCM 5412 and 5420

(i) The LCM of 5420 and 5412 is associative

LCM of 5412 and 5420 = LCM of 5420 and 5412

Related Least Common Multiples of 5412

Related Least Common Multiples of 5420

Frequently Asked Questions on LCM of 5412 and 5420

1. What is the LCM of 5412 and 5420?

Answer: LCM of 5412 and 5420 is 7333260.

2. 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.

3. What are the Factors of 5420?

Answer: Factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420. There are 12 integers that are factors of 5420. The greatest factor of 5420 is 5420.

4. How to Find the LCM of 5412 and 5420?

Answer:

Least Common Multiple of 5412 and 5420 = 7333260

Step 1: Find the prime factorization of 5412

5412 = 2 x 2 x 3 x 11 x 41

Step 2: Find the prime factorization of 5420

5420 = 2 x 2 x 5 x 271

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

LCM = 7333260 = 2 x 2 x 3 x 5 x 11 x 41 x 271

Step 4: Therefore, the least common multiple of 5412 and 5420 is 7333260.