Least Common Multiple of 10420 and 10426

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 10426 the smallest integer that is 54319460 that is divisible by both numbers.

Least Common Multiple (LCM) of 10420 and 10426 is 54319460.

LCM(10420,10426) = 54319460

LCM of 10420 and 10426

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

LCM of:
and

Least Common Multiple of 10420 and 10426

LCM of 10420 and 10426 is 54319460

Least common multiple can be found by multiplying the highest exponent prime factors of 10420 and 10426. First we will calculate the prime factors of 10420 and 10426.

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 10426


2 10426
13 5213
401 401
1

Prime factors of 10426 are 2, 13,401. Prime factorization of 10426 in exponential form is:

10426 = 21×131×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 10420 and 10426.

LCM(10420,10426) = 22×51×131×4011×5211
LCM(10420,10426) = 54319460

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 10426

List of positive integer factors of 10426 that divides 10426 without a remainder.

1, 2, 13, 26, 401, 802, 5213, 10426

Least Common Multiple of 10420 and 10426 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 10426, than apply into the LCM equation.

GCF(10420,10426) = 2
LCM(10420,10426) = ( 10420 × 10426) / 2
LCM(10420,10426) = 108638920 / 2
LCM(10420,10426) = 54319460

Properties of LCM 10420 and 10426

(i) The LCM of 10426 and 10420 is associative

LCM of 10420 and 10426 = LCM of 10426 and 10420

Related Least Common Multiples of 10420

Related Least Common Multiples of 10426

Frequently Asked Questions on LCM of 10420 and 10426

1. What is the LCM of 10420 and 10426?

Answer: LCM of 10420 and 10426 is 54319460.

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 10426?

Answer: Factors of 10426 are 1, 2, 13, 26, 401, 802, 5213, 10426. There are 8 integers that are factors of 10426. The greatest factor of 10426 is 10426.

4. How to Find the LCM of 10420 and 10426?

Answer:

Least Common Multiple of 10420 and 10426 = 54319460

Step 1: Find the prime factorization of 10420

10420 = 2 x 2 x 5 x 521

Step 2: Find the prime factorization of 10426

10426 = 2 x 13 x 401

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

LCM = 54319460 = 2 x 2 x 5 x 13 x 401 x 521

Step 4: Therefore, the least common multiple of 10420 and 10426 is 54319460.