Least Common Multiple of 10425 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 10425 and 10430 the smallest integer that is 21746550 that is divisible by both numbers.

Least Common Multiple (LCM) of 10425 and 10430 is 21746550.

LCM(10425,10430) = 21746550

LCM of 10425 and 10430

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

LCM of:
and

Least Common Multiple of 10425 and 10430

LCM of 10425 and 10430 is 21746550

Least common multiple can be found by multiplying the highest exponent prime factors of 10425 and 10430. First we will calculate the prime factors of 10425 and 10430.

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

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 10425 and 10430.

LCM(10425,10430) = 21×31×52×71×1391×1491
LCM(10425,10430) = 21746550

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

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 10425 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 10425 and 10430, than apply into the LCM equation.

GCF(10425,10430) = 5
LCM(10425,10430) = ( 10425 × 10430) / 5
LCM(10425,10430) = 108732750 / 5
LCM(10425,10430) = 21746550

Properties of LCM 10425 and 10430

(i) The LCM of 10430 and 10425 is associative

LCM of 10425 and 10430 = LCM of 10430 and 10425

Related Least Common Multiples of 10425

Related Least Common Multiples of 10430

Frequently Asked Questions on LCM of 10425 and 10430

1. What is the LCM of 10425 and 10430?

Answer: LCM of 10425 and 10430 is 21746550.

2. 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.

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 10425 and 10430?

Answer:

Least Common Multiple of 10425 and 10430 = 21746550

Step 1: Find the prime factorization of 10425

10425 = 3 x 5 x 5 x 139

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 = 21746550 = 2 x 3 x 5 x 5 x 7 x 139 x 149

Step 4: Therefore, the least common multiple of 10425 and 10430 is 21746550.