Least Common Multiple of 10320 and 10325

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 10325 the smallest integer that is 21310800 that is divisible by both numbers.

Least Common Multiple (LCM) of 10320 and 10325 is 21310800.

LCM(10320,10325) = 21310800

LCM of 10320 and 10325

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

LCM of:
and

Least Common Multiple of 10320 and 10325

LCM of 10320 and 10325 is 21310800

Least common multiple can be found by multiplying the highest exponent prime factors of 10320 and 10325. First we will calculate the prime factors of 10320 and 10325.

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 10325


5 10325
5 2065
7 413
59 59
1

Prime factors of 10325 are 5, 7,59. Prime factorization of 10325 in exponential form is:

10325 = 52×71×591

Now multiplying the highest exponent prime factors to calculate the LCM of 10320 and 10325.

LCM(10320,10325) = 24×31×52×71×431×591
LCM(10320,10325) = 21310800

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 10325

List of positive integer factors of 10325 that divides 10325 without a remainder.

1, 5, 7, 25, 35, 59, 175, 295, 413, 1475, 2065, 10325

Least Common Multiple of 10320 and 10325 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 10325, than apply into the LCM equation.

GCF(10320,10325) = 5
LCM(10320,10325) = ( 10320 × 10325) / 5
LCM(10320,10325) = 106554000 / 5
LCM(10320,10325) = 21310800

Properties of LCM 10320 and 10325

(i) The LCM of 10325 and 10320 is associative

LCM of 10320 and 10325 = LCM of 10325 and 10320

Related Least Common Multiples of 10320

Related Least Common Multiples of 10325

Frequently Asked Questions on LCM of 10320 and 10325

1. What is the LCM of 10320 and 10325?

Answer: LCM of 10320 and 10325 is 21310800.

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 10325?

Answer: Factors of 10325 are 1, 5, 7, 25, 35, 59, 175, 295, 413, 1475, 2065, 10325. There are 12 integers that are factors of 10325. The greatest factor of 10325 is 10325.

4. How to Find the LCM of 10320 and 10325?

Answer:

Least Common Multiple of 10320 and 10325 = 21310800

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 10325

10325 = 5 x 5 x 7 x 59

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

LCM = 21310800 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 43 x 59

Step 4: Therefore, the least common multiple of 10320 and 10325 is 21310800.