Least Common Multiple of 36 and 47

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 47 the smallest integer that is 1692 that is divisible by both numbers.

Least Common Multiple (LCM) of 36 and 47 is 1692.

LCM(36,47) = 1692

LCM of 36 and 47

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

LCM of:
and

Least Common Multiple of 36 and 47

LCM of 36 and 47 is 1692

Least common multiple can be found by multiplying the highest exponent prime factors of 36 and 47. First we will calculate the prime factors of 36 and 47.

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 47


47 47
1

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471

Now multiplying the highest exponent prime factors to calculate the LCM of 36 and 47.

LCM(36,47) = 22×32×471
LCM(36,47) = 1692

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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1, 47

Least Common Multiple of 36 and 47 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 47, than apply into the LCM equation.

GCF(36,47) = 1
LCM(36,47) = ( 36 × 47) / 1
LCM(36,47) = 1692 / 1
LCM(36,47) = 1692

Properties of LCM 36 and 47

(i) The LCM of 47 and 36 is associative

LCM of 36 and 47 = LCM of 47 and 36

Related Least Common Multiples of 36

Related Least Common Multiples of 47

Frequently Asked Questions on LCM of 36 and 47

1. What is the LCM of 36 and 47?

Answer: LCM of 36 and 47 is 1692.

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 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

4. How to Find the LCM of 36 and 47?

Answer:

Least Common Multiple of 36 and 47 = 1692

Step 1: Find the prime factorization of 36

36 = 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 47

47 = 47

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

LCM = 1692 = 2 x 2 x 3 x 3 x 47

Step 4: Therefore, the least common multiple of 36 and 47 is 1692.