Least Common Multiple of 10432 and 10437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10432 and 10437 the smallest integer that is 108878784 that is divisible by both numbers.

Least Common Multiple (LCM) of 10432 and 10437 is 108878784.

LCM(10432,10437) = 108878784

LCM of 10432 and 10437

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

LCM of:
and

Least Common Multiple of 10432 and 10437

LCM of 10432 and 10437 is 108878784

Least common multiple can be found by multiplying the highest exponent prime factors of 10432 and 10437. First we will calculate the prime factors of 10432 and 10437.

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

Prime Factorization of 10437


3 10437
7 3479
7 497
71 71
1

Prime factors of 10437 are 3, 7,71. Prime factorization of 10437 in exponential form is:

10437 = 31×72×711

Now multiplying the highest exponent prime factors to calculate the LCM of 10432 and 10437.

LCM(10432,10437) = 26×31×72×711×1631
LCM(10432,10437) = 108878784

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

Factors of 10437

List of positive integer factors of 10437 that divides 10437 without a remainder.

1, 3, 7, 21, 49, 71, 147, 213, 497, 1491, 3479, 10437

Least Common Multiple of 10432 and 10437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10432 and 10437, than apply into the LCM equation.

GCF(10432,10437) = 1
LCM(10432,10437) = ( 10432 × 10437) / 1
LCM(10432,10437) = 108878784 / 1
LCM(10432,10437) = 108878784

Properties of LCM 10432 and 10437

(i) The LCM of 10437 and 10432 is associative

LCM of 10432 and 10437 = LCM of 10437 and 10432

Related Least Common Multiples of 10432

Related Least Common Multiples of 10437

Frequently Asked Questions on LCM of 10432 and 10437

1. What is the LCM of 10432 and 10437?

Answer: LCM of 10432 and 10437 is 108878784.

2. 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.

3. What are the Factors of 10437?

Answer: Factors of 10437 are 1, 3, 7, 21, 49, 71, 147, 213, 497, 1491, 3479, 10437. There are 12 integers that are factors of 10437. The greatest factor of 10437 is 10437.

4. How to Find the LCM of 10432 and 10437?

Answer:

Least Common Multiple of 10432 and 10437 = 108878784

Step 1: Find the prime factorization of 10432

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

Step 2: Find the prime factorization of 10437

10437 = 3 x 7 x 7 x 71

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

LCM = 108878784 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 71 x 163

Step 4: Therefore, the least common multiple of 10432 and 10437 is 108878784.