Least Common Multiple of 32 and 37

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 37 the smallest integer that is 1184 that is divisible by both numbers.

Least Common Multiple (LCM) of 32 and 37 is 1184.

LCM(32,37) = 1184

LCM of 32 and 37

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

LCM of:
and

Least Common Multiple of 32 and 37

LCM of 32 and 37 is 1184

Least common multiple can be found by multiplying the highest exponent prime factors of 32 and 37. First we will calculate the prime factors of 32 and 37.

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 37


37 37
1

Prime factors of 37 are 37. Prime factorization of 37 in exponential form is:

37 = 371

Now multiplying the highest exponent prime factors to calculate the LCM of 32 and 37.

LCM(32,37) = 25×371
LCM(32,37) = 1184

Factors of 32

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

1, 2, 4, 8, 16, 32

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1, 37

Least Common Multiple of 32 and 37 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 37, than apply into the LCM equation.

GCF(32,37) = 1
LCM(32,37) = ( 32 × 37) / 1
LCM(32,37) = 1184 / 1
LCM(32,37) = 1184

Properties of LCM 32 and 37

(i) The LCM of 37 and 32 is associative

LCM of 32 and 37 = LCM of 37 and 32

Related Least Common Multiples of 32

Related Least Common Multiples of 37

Frequently Asked Questions on LCM of 32 and 37

1. What is the LCM of 32 and 37?

Answer: LCM of 32 and 37 is 1184.

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 37?

Answer: Factors of 37 are 1, 37. There are 2 integers that are factors of 37. The greatest factor of 37 is 37.

4. How to Find the LCM of 32 and 37?

Answer:

Least Common Multiple of 32 and 37 = 1184

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 37

37 = 37

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

LCM = 1184 = 2 x 2 x 2 x 2 x 2 x 37

Step 4: Therefore, the least common multiple of 32 and 37 is 1184.