Least Common Multiple of 10420 and 10428

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 10428 the smallest integer that is 27164940 that is divisible by both numbers.

Least Common Multiple (LCM) of 10420 and 10428 is 27164940.

LCM(10420,10428) = 27164940

LCM of 10420 and 10428

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

LCM of:
and

Least Common Multiple of 10420 and 10428

LCM of 10420 and 10428 is 27164940

Least common multiple can be found by multiplying the highest exponent prime factors of 10420 and 10428. First we will calculate the prime factors of 10420 and 10428.

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 10428


2 10428
2 5214
3 2607
11 869
79 79
1

Prime factors of 10428 are 2, 3, 11,79. Prime factorization of 10428 in exponential form is:

10428 = 22×31×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 10420 and 10428.

LCM(10420,10428) = 22×31×51×111×791×5211
LCM(10420,10428) = 27164940

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 10428

List of positive integer factors of 10428 that divides 10428 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214, 10428

Least Common Multiple of 10420 and 10428 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 10428, than apply into the LCM equation.

GCF(10420,10428) = 4
LCM(10420,10428) = ( 10420 × 10428) / 4
LCM(10420,10428) = 108659760 / 4
LCM(10420,10428) = 27164940

Properties of LCM 10420 and 10428

(i) The LCM of 10428 and 10420 is associative

LCM of 10420 and 10428 = LCM of 10428 and 10420

Related Least Common Multiples of 10420

Related Least Common Multiples of 10428

Frequently Asked Questions on LCM of 10420 and 10428

1. What is the LCM of 10420 and 10428?

Answer: LCM of 10420 and 10428 is 27164940.

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 10428?

Answer: Factors of 10428 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 79, 132, 158, 237, 316, 474, 869, 948, 1738, 2607, 3476, 5214, 10428. There are 24 integers that are factors of 10428. The greatest factor of 10428 is 10428.

4. How to Find the LCM of 10420 and 10428?

Answer:

Least Common Multiple of 10420 and 10428 = 27164940

Step 1: Find the prime factorization of 10420

10420 = 2 x 2 x 5 x 521

Step 2: Find the prime factorization of 10428

10428 = 2 x 2 x 3 x 11 x 79

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

LCM = 27164940 = 2 x 2 x 3 x 5 x 11 x 79 x 521

Step 4: Therefore, the least common multiple of 10420 and 10428 is 27164940.