Least Common Multiple of 32 and 44

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 44 the smallest integer that is 352 that is divisible by both numbers.

Least Common Multiple (LCM) of 32 and 44 is 352.

LCM(32,44) = 352

LCM of 32 and 44

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

LCM of:
and

Least Common Multiple of 32 and 44

LCM of 32 and 44 is 352

Least common multiple can be found by multiplying the highest exponent prime factors of 32 and 44. First we will calculate the prime factors of 32 and 44.

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 44


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 44.

LCM(32,44) = 25×111
LCM(32,44) = 352

Factors of 32

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

1, 2, 4, 8, 16, 32

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Least Common Multiple of 32 and 44 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 44, than apply into the LCM equation.

GCF(32,44) = 4
LCM(32,44) = ( 32 × 44) / 4
LCM(32,44) = 1408 / 4
LCM(32,44) = 352

Properties of LCM 32 and 44

(i) The LCM of 44 and 32 is associative

LCM of 32 and 44 = LCM of 44 and 32

Related Least Common Multiples of 32

Related Least Common Multiples of 44

Frequently Asked Questions on LCM of 32 and 44

1. What is the LCM of 32 and 44?

Answer: LCM of 32 and 44 is 352.

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 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

4. How to Find the LCM of 32 and 44?

Answer:

Least Common Multiple of 32 and 44 = 352

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 44

44 = 2 x 2 x 11

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

LCM = 352 = 2 x 2 x 2 x 2 x 2 x 11

Step 4: Therefore, the least common multiple of 32 and 44 is 352.