Least Common Multiple of 10426 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 10426 and 10430 the smallest integer that is 54371590 that is divisible by both numbers.

Least Common Multiple (LCM) of 10426 and 10430 is 54371590.

LCM(10426,10430) = 54371590

LCM of 10426 and 10430

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

LCM of:
and

Least Common Multiple of 10426 and 10430

LCM of 10426 and 10430 is 54371590

Least common multiple can be found by multiplying the highest exponent prime factors of 10426 and 10430. First we will calculate the prime factors of 10426 and 10430.

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

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 10426 and 10430.

LCM(10426,10430) = 21×51×71×131×1491×4011
LCM(10426,10430) = 54371590

Factors of 10426

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

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

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 10426 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 10426 and 10430, than apply into the LCM equation.

GCF(10426,10430) = 2
LCM(10426,10430) = ( 10426 × 10430) / 2
LCM(10426,10430) = 108743180 / 2
LCM(10426,10430) = 54371590

Properties of LCM 10426 and 10430

(i) The LCM of 10430 and 10426 is associative

LCM of 10426 and 10430 = LCM of 10430 and 10426

Related Least Common Multiples of 10426

Related Least Common Multiples of 10430

Frequently Asked Questions on LCM of 10426 and 10430

1. What is the LCM of 10426 and 10430?

Answer: LCM of 10426 and 10430 is 54371590.

2. 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.

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 10426 and 10430?

Answer:

Least Common Multiple of 10426 and 10430 = 54371590

Step 1: Find the prime factorization of 10426

10426 = 2 x 13 x 401

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 = 54371590 = 2 x 5 x 7 x 13 x 149 x 401

Step 4: Therefore, the least common multiple of 10426 and 10430 is 54371590.