Least Common Multiple of 4325 and 4333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4325 and 4333 the smallest integer that is 18740225 that is divisible by both numbers.

Least Common Multiple (LCM) of 4325 and 4333 is 18740225.

LCM(4325,4333) = 18740225

LCM of 4325 and 4333

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

LCM of:
and

Least Common Multiple of 4325 and 4333

LCM of 4325 and 4333 is 18740225

Least common multiple can be found by multiplying the highest exponent prime factors of 4325 and 4333. First we will calculate the prime factors of 4325 and 4333.

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

Prime Factorization of 4333


7 4333
619 619
1

Prime factors of 4333 are 7,619. Prime factorization of 4333 in exponential form is:

4333 = 71×6191

Now multiplying the highest exponent prime factors to calculate the LCM of 4325 and 4333.

LCM(4325,4333) = 52×71×1731×6191
LCM(4325,4333) = 18740225

Factors of 4325

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

1, 5, 25, 173, 865, 4325

Factors of 4333

List of positive integer factors of 4333 that divides 4333 without a remainder.

1, 7, 619, 4333

Least Common Multiple of 4325 and 4333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4325 and 4333, than apply into the LCM equation.

GCF(4325,4333) = 1
LCM(4325,4333) = ( 4325 × 4333) / 1
LCM(4325,4333) = 18740225 / 1
LCM(4325,4333) = 18740225

Properties of LCM 4325 and 4333

(i) The LCM of 4333 and 4325 is associative

LCM of 4325 and 4333 = LCM of 4333 and 4325

Related Least Common Multiples of 4325

Related Least Common Multiples of 4333

Frequently Asked Questions on LCM of 4325 and 4333

1. What is the LCM of 4325 and 4333?

Answer: LCM of 4325 and 4333 is 18740225.

2. 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.

3. What are the Factors of 4333?

Answer: Factors of 4333 are 1, 7, 619, 4333. There are 4 integers that are factors of 4333. The greatest factor of 4333 is 4333.

4. How to Find the LCM of 4325 and 4333?

Answer:

Least Common Multiple of 4325 and 4333 = 18740225

Step 1: Find the prime factorization of 4325

4325 = 5 x 5 x 173

Step 2: Find the prime factorization of 4333

4333 = 7 x 619

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

LCM = 18740225 = 5 x 5 x 7 x 173 x 619

Step 4: Therefore, the least common multiple of 4325 and 4333 is 18740225.