Least Common Multiple of 10422 and 10425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10422 and 10425 the smallest integer that is 36216450 that is divisible by both numbers.

Least Common Multiple (LCM) of 10422 and 10425 is 36216450.

LCM(10422,10425) = 36216450

LCM of 10422 and 10425

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

LCM of:
and

Least Common Multiple of 10422 and 10425

LCM of 10422 and 10425 is 36216450

Least common multiple can be found by multiplying the highest exponent prime factors of 10422 and 10425. First we will calculate the prime factors of 10422 and 10425.

Prime Factorization of 10422


2 10422
3 5211
3 1737
3 579
193 193
1

Prime factors of 10422 are 2, 3,193. Prime factorization of 10422 in exponential form is:

10422 = 21×33×1931

Prime Factorization of 10425


3 10425
5 3475
5 695
139 139
1

Prime factors of 10425 are 3, 5,139. Prime factorization of 10425 in exponential form is:

10425 = 31×52×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 10422 and 10425.

LCM(10422,10425) = 21×33×52×1391×1931
LCM(10422,10425) = 36216450

Factors of 10422

List of positive integer factors of 10422 that divides 10422 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 193, 386, 579, 1158, 1737, 3474, 5211, 10422

Factors of 10425

List of positive integer factors of 10425 that divides 10425 without a remainder.

1, 3, 5, 15, 25, 75, 139, 417, 695, 2085, 3475, 10425

Least Common Multiple of 10422 and 10425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10422 and 10425, than apply into the LCM equation.

GCF(10422,10425) = 3
LCM(10422,10425) = ( 10422 × 10425) / 3
LCM(10422,10425) = 108649350 / 3
LCM(10422,10425) = 36216450

Properties of LCM 10422 and 10425

(i) The LCM of 10425 and 10422 is associative

LCM of 10422 and 10425 = LCM of 10425 and 10422

Related Least Common Multiples of 10422

Related Least Common Multiples of 10425

Frequently Asked Questions on LCM of 10422 and 10425

1. What is the LCM of 10422 and 10425?

Answer: LCM of 10422 and 10425 is 36216450.

2. What are the Factors of 10422?

Answer: Factors of 10422 are 1, 2, 3, 6, 9, 18, 27, 54, 193, 386, 579, 1158, 1737, 3474, 5211, 10422. There are 16 integers that are factors of 10422. The greatest factor of 10422 is 10422.

3. What are the Factors of 10425?

Answer: Factors of 10425 are 1, 3, 5, 15, 25, 75, 139, 417, 695, 2085, 3475, 10425. There are 12 integers that are factors of 10425. The greatest factor of 10425 is 10425.

4. How to Find the LCM of 10422 and 10425?

Answer:

Least Common Multiple of 10422 and 10425 = 36216450

Step 1: Find the prime factorization of 10422

10422 = 2 x 3 x 3 x 3 x 193

Step 2: Find the prime factorization of 10425

10425 = 3 x 5 x 5 x 139

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

LCM = 36216450 = 2 x 3 x 3 x 3 x 5 x 5 x 139 x 193

Step 4: Therefore, the least common multiple of 10422 and 10425 is 36216450.