Least Common Multiple of 47 and 54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47 and 54 the smallest integer that is 2538 that is divisible by both numbers.

Least Common Multiple (LCM) of 47 and 54 is 2538.

LCM(47,54) = 2538

LCM of 47 and 54

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

LCM of:
and

Least Common Multiple of 47 and 54

LCM of 47 and 54 is 2538

Least common multiple can be found by multiplying the highest exponent prime factors of 47 and 54. First we will calculate the prime factors of 47 and 54.

Prime Factorization of 47


47 47
1

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

47 = 471

Prime Factorization of 54


2 54
3 27
3 9
3 3
1

Prime factors of 54 are 2,3. Prime factorization of 54 in exponential form is:

54 = 21×33

Now multiplying the highest exponent prime factors to calculate the LCM of 47 and 54.

LCM(47,54) = 21×33×471
LCM(47,54) = 2538

Factors of 47

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

1, 47

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Least Common Multiple of 47 and 54 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47 and 54, than apply into the LCM equation.

GCF(47,54) = 1
LCM(47,54) = ( 47 × 54) / 1
LCM(47,54) = 2538 / 1
LCM(47,54) = 2538

Properties of LCM 47 and 54

(i) The LCM of 54 and 47 is associative

LCM of 47 and 54 = LCM of 54 and 47

Related Least Common Multiples of 47

Related Least Common Multiples of 54

Frequently Asked Questions on LCM of 47 and 54

1. What is the LCM of 47 and 54?

Answer: LCM of 47 and 54 is 2538.

2. 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.

3. What are the Factors of 54?

Answer: Factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54. There are 8 integers that are factors of 54. The greatest factor of 54 is 54.

4. How to Find the LCM of 47 and 54?

Answer:

Least Common Multiple of 47 and 54 = 2538

Step 1: Find the prime factorization of 47

47 = 47

Step 2: Find the prime factorization of 54

54 = 2 x 3 x 3 x 3

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

LCM = 2538 = 2 x 3 x 3 x 3 x 47

Step 4: Therefore, the least common multiple of 47 and 54 is 2538.