Least Common Multiple of 10420 and 10424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10420 and 10424 the smallest integer that is 27154520 that is divisible by both numbers.

Least Common Multiple (LCM) of 10420 and 10424 is 27154520.

LCM(10420,10424) = 27154520

LCM of 10420 and 10424

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

LCM of:
and

Least Common Multiple of 10420 and 10424

LCM of 10420 and 10424 is 27154520

Least common multiple can be found by multiplying the highest exponent prime factors of 10420 and 10424. First we will calculate the prime factors of 10420 and 10424.

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

Prime Factorization of 10424


2 10424
2 5212
2 2606
1303 1303
1

Prime factors of 10424 are 2,1303. Prime factorization of 10424 in exponential form is:

10424 = 23×13031

Now multiplying the highest exponent prime factors to calculate the LCM of 10420 and 10424.

LCM(10420,10424) = 23×51×5211×13031
LCM(10420,10424) = 27154520

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

Factors of 10424

List of positive integer factors of 10424 that divides 10424 without a remainder.

1, 2, 4, 8, 1303, 2606, 5212, 10424

Least Common Multiple of 10420 and 10424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10420 and 10424, than apply into the LCM equation.

GCF(10420,10424) = 4
LCM(10420,10424) = ( 10420 × 10424) / 4
LCM(10420,10424) = 108618080 / 4
LCM(10420,10424) = 27154520

Properties of LCM 10420 and 10424

(i) The LCM of 10424 and 10420 is associative

LCM of 10420 and 10424 = LCM of 10424 and 10420

Related Least Common Multiples of 10420

Related Least Common Multiples of 10424

Frequently Asked Questions on LCM of 10420 and 10424

1. What is the LCM of 10420 and 10424?

Answer: LCM of 10420 and 10424 is 27154520.

2. 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.

3. What are the Factors of 10424?

Answer: Factors of 10424 are 1, 2, 4, 8, 1303, 2606, 5212, 10424. There are 8 integers that are factors of 10424. The greatest factor of 10424 is 10424.

4. How to Find the LCM of 10420 and 10424?

Answer:

Least Common Multiple of 10420 and 10424 = 27154520

Step 1: Find the prime factorization of 10420

10420 = 2 x 2 x 5 x 521

Step 2: Find the prime factorization of 10424

10424 = 2 x 2 x 2 x 1303

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

LCM = 27154520 = 2 x 2 x 2 x 5 x 521 x 1303

Step 4: Therefore, the least common multiple of 10420 and 10424 is 27154520.