Least Common Multiple of 32 and 50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 32 and 50 the smallest integer that is 800 that is divisible by both numbers.

Least Common Multiple (LCM) of 32 and 50 is 800.

LCM(32,50) = 800

LCM of 32 and 50

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

LCM of:
and

Least Common Multiple of 32 and 50

LCM of 32 and 50 is 800

Least common multiple can be found by multiplying the highest exponent prime factors of 32 and 50. First we will calculate the prime factors of 32 and 50.

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

Prime Factorization of 50


2 50
5 25
5 5
1

Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:

50 = 21×52

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 50.

LCM(32,50) = 25×52
LCM(32,50) = 800

Factors of 32

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

1, 2, 4, 8, 16, 32

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Least Common Multiple of 32 and 50 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32 and 50, than apply into the LCM equation.

GCF(32,50) = 2
LCM(32,50) = ( 32 × 50) / 2
LCM(32,50) = 1600 / 2
LCM(32,50) = 800

Properties of LCM 32 and 50

(i) The LCM of 50 and 32 is associative

LCM of 32 and 50 = LCM of 50 and 32

Related Least Common Multiples of 32

Related Least Common Multiples of 50

Frequently Asked Questions on LCM of 32 and 50

1. What is the LCM of 32 and 50?

Answer: LCM of 32 and 50 is 800.

2. 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.

3. What are the Factors of 50?

Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.

4. How to Find the LCM of 32 and 50?

Answer:

Least Common Multiple of 32 and 50 = 800

Step 1: Find the prime factorization of 32

32 = 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 50

50 = 2 x 5 x 5

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 32 and 50 is 800.