Least Common Multiple of 25 and 32

Free LCM Calculator determines the least common multiple (LCM) between 25 and 32 the smallest integer that is 800 that is divisible by both numbers.

Least Common Multiple (LCM) of 25 and 32 is 800.

LCM(25,32) = 800

LCM of 25 and 32

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

LCM of:
and

Least Common Multiple (LCM) of 25 and 32 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25 and 32. First we will calculate the prime factors of 25 and 32.

Prime Factorization of 25


5 25
5 5
1

Prime factors of 25 are 5. Prime factorization of 25 in exponential form is:

25 = 52

Prime Factorization of 32


2 32
2 16
2 8
2 4
2 2
1

Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

32 = 25

Now multiplying the highest exponent prime factors to calculate the LCM of 25 and 32.

LCM(25,32) = 25×52
LCM(25,32) = 800

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1, 5, 25

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Least Common Multiple of 25 and 32 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25 and 32, than apply into the LCM equation.

GCF(25,32) = 1
LCM(25,32) = ( 25 × 32) / 1
LCM(25,32) = 800 / 1
LCM(25,32) = 800

Properties of LCM 25 and 32

(i) The LCM of 32 and 25 is associative

LCM of 25 and 32 = LCM of 32 and 25

Frequently Asked Questions on LCM of 25 and 32

1. What is the LCM of 25 and 32?

Answer: LCM of 25 and 32 is 800.

2. What are the Factors of 25?

Answer: Factors of 25 are 1, 5, 25. There are 3 integers that are factors of 25. The greatest factor of 25 is 25.

3. What are the Factors of 32?

Answer: Factors of 32 are 1, 2, 4, 8, 16, 32. There are 6 integers that are factors of 32. The greatest factor of 32 is 32.

4. How to Find the LCM of 25 and 32?

Answer:

Least Common Multiple of 25 and 32 = 800

Step 1: Find the prime factorization of 25

25 = 5 x 5

Step 2: Find the prime factorization of 32

32 = 2 x 2 x 2 x 2 x 2

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

LCM = 800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 4: Therefore, the least common multiple of 25 and 32 is 800.