Least Common Multiple of 10412 and 10420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10412 and 10420 the smallest integer that is 27123260 that is divisible by both numbers.

Least Common Multiple (LCM) of 10412 and 10420 is 27123260.

LCM(10412,10420) = 27123260

LCM of 10412 and 10420

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

LCM of:
and

Least Common Multiple of 10412 and 10420

LCM of 10412 and 10420 is 27123260

Least common multiple can be found by multiplying the highest exponent prime factors of 10412 and 10420. First we will calculate the prime factors of 10412 and 10420.

Prime Factorization of 10412


2 10412
2 5206
19 2603
137 137
1

Prime factors of 10412 are 2, 19,137. Prime factorization of 10412 in exponential form is:

10412 = 22×191×1371

Prime Factorization of 10420


2 10420
2 5210
5 2605
521 521
1

Prime factors of 10420 are 2, 5,521. Prime factorization of 10420 in exponential form is:

10420 = 22×51×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 10412 and 10420.

LCM(10412,10420) = 22×51×191×1371×5211
LCM(10412,10420) = 27123260

Factors of 10412

List of positive integer factors of 10412 that divides 10412 without a remainder.

1, 2, 4, 19, 38, 76, 137, 274, 548, 2603, 5206, 10412

Factors of 10420

List of positive integer factors of 10420 that divides 10420 without a remainder.

1, 2, 4, 5, 10, 20, 521, 1042, 2084, 2605, 5210, 10420

Least Common Multiple of 10412 and 10420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10412 and 10420, than apply into the LCM equation.

GCF(10412,10420) = 4
LCM(10412,10420) = ( 10412 × 10420) / 4
LCM(10412,10420) = 108493040 / 4
LCM(10412,10420) = 27123260

Properties of LCM 10412 and 10420

(i) The LCM of 10420 and 10412 is associative

LCM of 10412 and 10420 = LCM of 10420 and 10412

Related Least Common Multiples of 10412

Related Least Common Multiples of 10420

Frequently Asked Questions on LCM of 10412 and 10420

1. What is the LCM of 10412 and 10420?

Answer: LCM of 10412 and 10420 is 27123260.

2. What are the Factors of 10412?

Answer: Factors of 10412 are 1, 2, 4, 19, 38, 76, 137, 274, 548, 2603, 5206, 10412. There are 12 integers that are factors of 10412. The greatest factor of 10412 is 10412.

3. What are the Factors of 10420?

Answer: Factors of 10420 are 1, 2, 4, 5, 10, 20, 521, 1042, 2084, 2605, 5210, 10420. There are 12 integers that are factors of 10420. The greatest factor of 10420 is 10420.

4. How to Find the LCM of 10412 and 10420?

Answer:

Least Common Multiple of 10412 and 10420 = 27123260

Step 1: Find the prime factorization of 10412

10412 = 2 x 2 x 19 x 137

Step 2: Find the prime factorization of 10420

10420 = 2 x 2 x 5 x 521

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

LCM = 27123260 = 2 x 2 x 5 x 19 x 137 x 521

Step 4: Therefore, the least common multiple of 10412 and 10420 is 27123260.