Least Common Multiple of 32 and 39

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 39 the smallest integer that is 1248 that is divisible by both numbers.

Least Common Multiple (LCM) of 32 and 39 is 1248.

LCM(32,39) = 1248

LCM of 32 and 39

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

LCM of:
and

Least Common Multiple of 32 and 39

LCM of 32 and 39 is 1248

Least common multiple can be found by multiplying the highest exponent prime factors of 32 and 39. First we will calculate the prime factors of 32 and 39.

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 39


3 39
13 13
1

Prime factors of 39 are 3,13. Prime factorization of 39 in exponential form is:

39 = 31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 39.

LCM(32,39) = 25×31×131
LCM(32,39) = 1248

Factors of 32

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

1, 2, 4, 8, 16, 32

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Least Common Multiple of 32 and 39 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 39, than apply into the LCM equation.

GCF(32,39) = 1
LCM(32,39) = ( 32 × 39) / 1
LCM(32,39) = 1248 / 1
LCM(32,39) = 1248

Properties of LCM 32 and 39

(i) The LCM of 39 and 32 is associative

LCM of 32 and 39 = LCM of 39 and 32

Related Least Common Multiples of 32

Related Least Common Multiples of 39

Frequently Asked Questions on LCM of 32 and 39

1. What is the LCM of 32 and 39?

Answer: LCM of 32 and 39 is 1248.

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 39?

Answer: Factors of 39 are 1, 3, 13, 39. There are 4 integers that are factors of 39. The greatest factor of 39 is 39.

4. How to Find the LCM of 32 and 39?

Answer:

Least Common Multiple of 32 and 39 = 1248

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 39

39 = 3 x 13

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

LCM = 1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13

Step 4: Therefore, the least common multiple of 32 and 39 is 1248.