Least Common Multiple of 10422 and 10430

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 10430 the smallest integer that is 54350730 that is divisible by both numbers.

Least Common Multiple (LCM) of 10422 and 10430 is 54350730.

LCM(10422,10430) = 54350730

LCM of 10422 and 10430

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

LCM of:
and

Least Common Multiple of 10422 and 10430

LCM of 10422 and 10430 is 54350730

Least common multiple can be found by multiplying the highest exponent prime factors of 10422 and 10430. First we will calculate the prime factors of 10422 and 10430.

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 10430


2 10430
5 5215
7 1043
149 149
1

Prime factors of 10430 are 2, 5, 7,149. Prime factorization of 10430 in exponential form is:

10430 = 21×51×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 10422 and 10430.

LCM(10422,10430) = 21×33×51×71×1491×1931
LCM(10422,10430) = 54350730

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 10430

List of positive integer factors of 10430 that divides 10430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 149, 298, 745, 1043, 1490, 2086, 5215, 10430

Least Common Multiple of 10422 and 10430 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 10430, than apply into the LCM equation.

GCF(10422,10430) = 2
LCM(10422,10430) = ( 10422 × 10430) / 2
LCM(10422,10430) = 108701460 / 2
LCM(10422,10430) = 54350730

Properties of LCM 10422 and 10430

(i) The LCM of 10430 and 10422 is associative

LCM of 10422 and 10430 = LCM of 10430 and 10422

Related Least Common Multiples of 10422

Related Least Common Multiples of 10430

Frequently Asked Questions on LCM of 10422 and 10430

1. What is the LCM of 10422 and 10430?

Answer: LCM of 10422 and 10430 is 54350730.

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 10430?

Answer: Factors of 10430 are 1, 2, 5, 7, 10, 14, 35, 70, 149, 298, 745, 1043, 1490, 2086, 5215, 10430. There are 16 integers that are factors of 10430. The greatest factor of 10430 is 10430.

4. How to Find the LCM of 10422 and 10430?

Answer:

Least Common Multiple of 10422 and 10430 = 54350730

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 10430

10430 = 2 x 5 x 7 x 149

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

LCM = 54350730 = 2 x 3 x 3 x 3 x 5 x 7 x 149 x 193

Step 4: Therefore, the least common multiple of 10422 and 10430 is 54350730.