Least Common Multiple of 10320 and 10324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10320 and 10324 the smallest integer that is 26635920 that is divisible by both numbers.

Least Common Multiple (LCM) of 10320 and 10324 is 26635920.

LCM(10320,10324) = 26635920

LCM of 10320 and 10324

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

LCM of:
and

Least Common Multiple of 10320 and 10324

LCM of 10320 and 10324 is 26635920

Least common multiple can be found by multiplying the highest exponent prime factors of 10320 and 10324. First we will calculate the prime factors of 10320 and 10324.

Prime Factorization of 10320


2 10320
2 5160
2 2580
2 1290
3 645
5 215
43 43
1

Prime factors of 10320 are 2, 3, 5,43. Prime factorization of 10320 in exponential form is:

10320 = 24×31×51×431

Prime Factorization of 10324


2 10324
2 5162
29 2581
89 89
1

Prime factors of 10324 are 2, 29,89. Prime factorization of 10324 in exponential form is:

10324 = 22×291×891

Now multiplying the highest exponent prime factors to calculate the LCM of 10320 and 10324.

LCM(10320,10324) = 24×31×51×291×431×891
LCM(10320,10324) = 26635920

Factors of 10320

List of positive integer factors of 10320 that divides 10320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160, 10320

Factors of 10324

List of positive integer factors of 10324 that divides 10324 without a remainder.

1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162, 10324

Least Common Multiple of 10320 and 10324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10320 and 10324, than apply into the LCM equation.

GCF(10320,10324) = 4
LCM(10320,10324) = ( 10320 × 10324) / 4
LCM(10320,10324) = 106543680 / 4
LCM(10320,10324) = 26635920

Properties of LCM 10320 and 10324

(i) The LCM of 10324 and 10320 is associative

LCM of 10320 and 10324 = LCM of 10324 and 10320

Related Least Common Multiples of 10320

Related Least Common Multiples of 10324

Frequently Asked Questions on LCM of 10320 and 10324

1. What is the LCM of 10320 and 10324?

Answer: LCM of 10320 and 10324 is 26635920.

2. What are the Factors of 10320?

Answer: Factors of 10320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 43, 48, 60, 80, 86, 120, 129, 172, 215, 240, 258, 344, 430, 516, 645, 688, 860, 1032, 1290, 1720, 2064, 2580, 3440, 5160, 10320. There are 40 integers that are factors of 10320. The greatest factor of 10320 is 10320.

3. What are the Factors of 10324?

Answer: Factors of 10324 are 1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162, 10324. There are 12 integers that are factors of 10324. The greatest factor of 10324 is 10324.

4. How to Find the LCM of 10320 and 10324?

Answer:

Least Common Multiple of 10320 and 10324 = 26635920

Step 1: Find the prime factorization of 10320

10320 = 2 x 2 x 2 x 2 x 3 x 5 x 43

Step 2: Find the prime factorization of 10324

10324 = 2 x 2 x 29 x 89

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

LCM = 26635920 = 2 x 2 x 2 x 2 x 3 x 5 x 29 x 43 x 89

Step 4: Therefore, the least common multiple of 10320 and 10324 is 26635920.