Least Common Multiple of 10424 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 10424 and 10432 the smallest integer that is 13592896 that is divisible by both numbers.

Least Common Multiple (LCM) of 10424 and 10432 is 13592896.

LCM(10424,10432) = 13592896

LCM of 10424 and 10432

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

LCM of:
and

Least Common Multiple of 10424 and 10432

LCM of 10424 and 10432 is 13592896

Least common multiple can be found by multiplying the highest exponent prime factors of 10424 and 10432. First we will calculate the prime factors of 10424 and 10432.

Prime Factorization of 10424


2 10424
2 5212
2 2606
1303 1303
1

Prime factors of 10424 are 2,1303. Prime factorization of 10424 in exponential form is:

10424 = 23×13031

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 10424 and 10432.

LCM(10424,10432) = 26×1631×13031
LCM(10424,10432) = 13592896

Factors of 10424

List of positive integer factors of 10424 that divides 10424 without a remainder.

1, 2, 4, 8, 1303, 2606, 5212, 10424

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 10424 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 10424 and 10432, than apply into the LCM equation.

GCF(10424,10432) = 8
LCM(10424,10432) = ( 10424 × 10432) / 8
LCM(10424,10432) = 108743168 / 8
LCM(10424,10432) = 13592896

Properties of LCM 10424 and 10432

(i) The LCM of 10432 and 10424 is associative

LCM of 10424 and 10432 = LCM of 10432 and 10424

Related Least Common Multiples of 10424

Related Least Common Multiples of 10432

Frequently Asked Questions on LCM of 10424 and 10432

1. What is the LCM of 10424 and 10432?

Answer: LCM of 10424 and 10432 is 13592896.

2. What are the Factors of 10424?

Answer: Factors of 10424 are 1, 2, 4, 8, 1303, 2606, 5212, 10424. There are 8 integers that are factors of 10424. The greatest factor of 10424 is 10424.

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 10424 and 10432?

Answer:

Least Common Multiple of 10424 and 10432 = 13592896

Step 1: Find the prime factorization of 10424

10424 = 2 x 2 x 2 x 1303

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 = 13592896 = 2 x 2 x 2 x 2 x 2 x 2 x 163 x 1303

Step 4: Therefore, the least common multiple of 10424 and 10432 is 13592896.