Least Common Multiple of 10425 and 10432

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 10432 the smallest integer that is 108753600 that is divisible by both numbers.

Least Common Multiple (LCM) of 10425 and 10432 is 108753600.

LCM(10425,10432) = 108753600

LCM of 10425 and 10432

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

LCM of:
and

Least Common Multiple of 10425 and 10432

LCM of 10425 and 10432 is 108753600

Least common multiple can be found by multiplying the highest exponent prime factors of 10425 and 10432. First we will calculate the prime factors of 10425 and 10432.

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 10432


2 10432
2 5216
2 2608
2 1304
2 652
2 326
163 163
1

Prime factors of 10432 are 2,163. Prime factorization of 10432 in exponential form is:

10432 = 26×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 10425 and 10432.

LCM(10425,10432) = 26×31×52×1391×1631
LCM(10425,10432) = 108753600

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 10432

List of positive integer factors of 10432 that divides 10432 without a remainder.

1, 2, 4, 8, 16, 32, 64, 163, 326, 652, 1304, 2608, 5216, 10432

Least Common Multiple of 10425 and 10432 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 10432, than apply into the LCM equation.

GCF(10425,10432) = 1
LCM(10425,10432) = ( 10425 × 10432) / 1
LCM(10425,10432) = 108753600 / 1
LCM(10425,10432) = 108753600

Properties of LCM 10425 and 10432

(i) The LCM of 10432 and 10425 is associative

LCM of 10425 and 10432 = LCM of 10432 and 10425

Related Least Common Multiples of 10425

Related Least Common Multiples of 10432

Frequently Asked Questions on LCM of 10425 and 10432

1. What is the LCM of 10425 and 10432?

Answer: LCM of 10425 and 10432 is 108753600.

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 10432?

Answer: Factors of 10432 are 1, 2, 4, 8, 16, 32, 64, 163, 326, 652, 1304, 2608, 5216, 10432. There are 14 integers that are factors of 10432. The greatest factor of 10432 is 10432.

4. How to Find the LCM of 10425 and 10432?

Answer:

Least Common Multiple of 10425 and 10432 = 108753600

Step 1: Find the prime factorization of 10425

10425 = 3 x 5 x 5 x 139

Step 2: Find the prime factorization of 10432

10432 = 2 x 2 x 2 x 2 x 2 x 2 x 163

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

LCM = 108753600 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 139 x 163

Step 4: Therefore, the least common multiple of 10425 and 10432 is 108753600.