Least Common Multiple of 36 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 36 and 37 the smallest integer that is 1332 that is divisible by both numbers.

Least Common Multiple (LCM) of 36 and 37 is 1332.

LCM(36,37) = 1332

LCM of 36 and 37

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

LCM of:
and

Least Common Multiple of 36 and 37

LCM of 36 and 37 is 1332

Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 37. First we will calculate the prime factors of 36 and 37.

Prime Factorization of 36


2 36
2 18
3 9
3 3
1

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36 = 22×32

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 36 and 37.

LCM(36,37) = 22×32×371
LCM(36,37) = 1332

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 37

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

1, 37

Least Common Multiple of 36 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 36 and 37, than apply into the LCM equation.

GCF(36,37) = 1
LCM(36,37) = ( 36 × 37) / 1
LCM(36,37) = 1332 / 1
LCM(36,37) = 1332

Properties of LCM 36 and 37

(i) The LCM of 37 and 36 is associative

LCM of 36 and 37 = LCM of 37 and 36

Related Least Common Multiples of 36

Related Least Common Multiples of 37

Frequently Asked Questions on LCM of 36 and 37

1. What is the LCM of 36 and 37?

Answer: LCM of 36 and 37 is 1332.

2. What are the Factors of 36?

Answer: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. There are 9 integers that are factors of 36. The greatest factor of 36 is 36.

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 36 and 37?

Answer:

Least Common Multiple of 36 and 37 = 1332

Step 1: Find the prime factorization of 36

36 = 2 x 2 x 3 x 3

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 = 1332 = 2 x 2 x 3 x 3 x 37

Step 4: Therefore, the least common multiple of 36 and 37 is 1332.