Least Common Multiple of 325 and 332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 325 and 332 the smallest integer that is 107900 that is divisible by both numbers.

Least Common Multiple (LCM) of 325 and 332 is 107900.

LCM(325,332) = 107900

LCM of 325 and 332

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

LCM of:
and

Least Common Multiple of 325 and 332

LCM of 325 and 332 is 107900

Least common multiple can be found by multiplying the highest exponent prime factors of 325 and 332. First we will calculate the prime factors of 325 and 332.

Prime Factorization of 325


5 325
5 65
13 13
1

Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:

325 = 52×131

Prime Factorization of 332


2 332
2 166
83 83
1

Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:

332 = 22×831

Now multiplying the highest exponent prime factors to calculate the LCM of 325 and 332.

LCM(325,332) = 22×52×131×831
LCM(325,332) = 107900

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Least Common Multiple of 325 and 332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 325 and 332, than apply into the LCM equation.

GCF(325,332) = 1
LCM(325,332) = ( 325 × 332) / 1
LCM(325,332) = 107900 / 1
LCM(325,332) = 107900

Properties of LCM 325 and 332

(i) The LCM of 332 and 325 is associative

LCM of 325 and 332 = LCM of 332 and 325

Related Least Common Multiples of 325

Related Least Common Multiples of 332

Frequently Asked Questions on LCM of 325 and 332

1. What is the LCM of 325 and 332?

Answer: LCM of 325 and 332 is 107900.

2. What are the Factors of 325?

Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.

3. What are the Factors of 332?

Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.

4. How to Find the LCM of 325 and 332?

Answer:

Least Common Multiple of 325 and 332 = 107900

Step 1: Find the prime factorization of 325

325 = 5 x 5 x 13

Step 2: Find the prime factorization of 332

332 = 2 x 2 x 83

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

LCM = 107900 = 2 x 2 x 5 x 5 x 13 x 83

Step 4: Therefore, the least common multiple of 325 and 332 is 107900.