Least Common Multiple of 10422 and 10427

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 10427 the smallest integer that is 108670194 that is divisible by both numbers.

Least Common Multiple (LCM) of 10422 and 10427 is 108670194.

LCM(10422,10427) = 108670194

LCM of 10422 and 10427

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

LCM of:
and

Least Common Multiple of 10422 and 10427

LCM of 10422 and 10427 is 108670194

Least common multiple can be found by multiplying the highest exponent prime factors of 10422 and 10427. First we will calculate the prime factors of 10422 and 10427.

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 10427


10427 10427
1

Prime factors of 10427 are 10427. Prime factorization of 10427 in exponential form is:

10427 = 104271

Now multiplying the highest exponent prime factors to calculate the LCM of 10422 and 10427.

LCM(10422,10427) = 21×33×1931×104271
LCM(10422,10427) = 108670194

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 10427

List of positive integer factors of 10427 that divides 10427 without a remainder.

1, 10427

Least Common Multiple of 10422 and 10427 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 10427, than apply into the LCM equation.

GCF(10422,10427) = 1
LCM(10422,10427) = ( 10422 × 10427) / 1
LCM(10422,10427) = 108670194 / 1
LCM(10422,10427) = 108670194

Properties of LCM 10422 and 10427

(i) The LCM of 10427 and 10422 is associative

LCM of 10422 and 10427 = LCM of 10427 and 10422

Related Least Common Multiples of 10422

Related Least Common Multiples of 10427

Frequently Asked Questions on LCM of 10422 and 10427

1. What is the LCM of 10422 and 10427?

Answer: LCM of 10422 and 10427 is 108670194.

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 10427?

Answer: Factors of 10427 are 1, 10427. There are 2 integers that are factors of 10427. The greatest factor of 10427 is 10427.

4. How to Find the LCM of 10422 and 10427?

Answer:

Least Common Multiple of 10422 and 10427 = 108670194

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 10427

10427 = 10427

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

LCM = 108670194 = 2 x 3 x 3 x 3 x 193 x 10427

Step 4: Therefore, the least common multiple of 10422 and 10427 is 108670194.