Least Common Multiple of 5407 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 5407 and 5412 the smallest integer that is 29262684 that is divisible by both numbers.

Least Common Multiple (LCM) of 5407 and 5412 is 29262684.

LCM(5407,5412) = 29262684

LCM of 5407 and 5412

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

LCM of:
and

Least Common Multiple of 5407 and 5412

LCM of 5407 and 5412 is 29262684

Least common multiple can be found by multiplying the highest exponent prime factors of 5407 and 5412. First we will calculate the prime factors of 5407 and 5412.

Prime Factorization of 5407


5407 5407
1

Prime factors of 5407 are 5407. Prime factorization of 5407 in exponential form is:

5407 = 54071

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 5407 and 5412.

LCM(5407,5412) = 22×31×111×411×54071
LCM(5407,5412) = 29262684

Factors of 5407

List of positive integer factors of 5407 that divides 5407 without a remainder.

1, 5407

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 5407 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 5407 and 5412, than apply into the LCM equation.

GCF(5407,5412) = 1
LCM(5407,5412) = ( 5407 × 5412) / 1
LCM(5407,5412) = 29262684 / 1
LCM(5407,5412) = 29262684

Properties of LCM 5407 and 5412

(i) The LCM of 5412 and 5407 is associative

LCM of 5407 and 5412 = LCM of 5412 and 5407

Related Least Common Multiples of 5407

Related Least Common Multiples of 5412

Frequently Asked Questions on LCM of 5407 and 5412

1. What is the LCM of 5407 and 5412?

Answer: LCM of 5407 and 5412 is 29262684.

2. What are the Factors of 5407?

Answer: Factors of 5407 are 1, 5407. There are 2 integers that are factors of 5407. The greatest factor of 5407 is 5407.

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 5407 and 5412?

Answer:

Least Common Multiple of 5407 and 5412 = 29262684

Step 1: Find the prime factorization of 5407

5407 = 5407

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 = 29262684 = 2 x 2 x 3 x 11 x 41 x 5407

Step 4: Therefore, the least common multiple of 5407 and 5412 is 29262684.