Least Common Multiple of 4320 and 4325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4320 and 4325 the smallest integer that is 3736800 that is divisible by both numbers.

Least Common Multiple (LCM) of 4320 and 4325 is 3736800.

LCM(4320,4325) = 3736800

LCM of 4320 and 4325

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

LCM of:
and

Least Common Multiple of 4320 and 4325

LCM of 4320 and 4325 is 3736800

Least common multiple can be found by multiplying the highest exponent prime factors of 4320 and 4325. First we will calculate the prime factors of 4320 and 4325.

Prime Factorization of 4320


2 4320
2 2160
2 1080
2 540
2 270
3 135
3 45
3 15
5 5
1

Prime factors of 4320 are 2, 3,5. Prime factorization of 4320 in exponential form is:

4320 = 25×33×51

Prime Factorization of 4325


5 4325
5 865
173 173
1

Prime factors of 4325 are 5,173. Prime factorization of 4325 in exponential form is:

4325 = 52×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4320 and 4325.

LCM(4320,4325) = 25×33×52×1731
LCM(4320,4325) = 3736800

Factors of 4320

List of positive integer factors of 4320 that divides 4320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320

Factors of 4325

List of positive integer factors of 4325 that divides 4325 without a remainder.

1, 5, 25, 173, 865, 4325

Least Common Multiple of 4320 and 4325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4320 and 4325, than apply into the LCM equation.

GCF(4320,4325) = 5
LCM(4320,4325) = ( 4320 × 4325) / 5
LCM(4320,4325) = 18684000 / 5
LCM(4320,4325) = 3736800

Properties of LCM 4320 and 4325

(i) The LCM of 4325 and 4320 is associative

LCM of 4320 and 4325 = LCM of 4325 and 4320

Related Least Common Multiples of 4320

Related Least Common Multiples of 4325

Frequently Asked Questions on LCM of 4320 and 4325

1. What is the LCM of 4320 and 4325?

Answer: LCM of 4320 and 4325 is 3736800.

2. What are the Factors of 4320?

Answer: Factors of 4320 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 216, 240, 270, 288, 360, 432, 480, 540, 720, 864, 1080, 1440, 2160, 4320. There are 48 integers that are factors of 4320. The greatest factor of 4320 is 4320.

3. What are the Factors of 4325?

Answer: Factors of 4325 are 1, 5, 25, 173, 865, 4325. There are 6 integers that are factors of 4325. The greatest factor of 4325 is 4325.

4. How to Find the LCM of 4320 and 4325?

Answer:

Least Common Multiple of 4320 and 4325 = 3736800

Step 1: Find the prime factorization of 4320

4320 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 4325

4325 = 5 x 5 x 173

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

LCM = 3736800 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 173

Step 4: Therefore, the least common multiple of 4320 and 4325 is 3736800.