Least Common Multiple of 32 and 43

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 43 the smallest integer that is 1376 that is divisible by both numbers.

Least Common Multiple (LCM) of 32 and 43 is 1376.

LCM(32,43) = 1376

LCM of 32 and 43

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

LCM of:
and

Least Common Multiple of 32 and 43

LCM of 32 and 43 is 1376

Least common multiple can be found by multiplying the highest exponent prime factors of 32 and 43. First we will calculate the prime factors of 32 and 43.

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 43


43 43
1

Prime factors of 43 are 43. Prime factorization of 43 in exponential form is:

43 = 431

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 43.

LCM(32,43) = 25×431
LCM(32,43) = 1376

Factors of 32

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

1, 2, 4, 8, 16, 32

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1, 43

Least Common Multiple of 32 and 43 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 43, than apply into the LCM equation.

GCF(32,43) = 1
LCM(32,43) = ( 32 × 43) / 1
LCM(32,43) = 1376 / 1
LCM(32,43) = 1376

Properties of LCM 32 and 43

(i) The LCM of 43 and 32 is associative

LCM of 32 and 43 = LCM of 43 and 32

Related Least Common Multiples of 32

Related Least Common Multiples of 43

Frequently Asked Questions on LCM of 32 and 43

1. What is the LCM of 32 and 43?

Answer: LCM of 32 and 43 is 1376.

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 43?

Answer: Factors of 43 are 1, 43. There are 2 integers that are factors of 43. The greatest factor of 43 is 43.

4. How to Find the LCM of 32 and 43?

Answer:

Least Common Multiple of 32 and 43 = 1376

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 43

43 = 43

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

LCM = 1376 = 2 x 2 x 2 x 2 x 2 x 43

Step 4: Therefore, the least common multiple of 32 and 43 is 1376.