Least Common Multiple of 51 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 51 and 54 the smallest integer that is 918 that is divisible by both numbers.

Least Common Multiple (LCM) of 51 and 54 is 918.

LCM(51,54) = 918

LCM of 51 and 54

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

LCM of:
and

Least Common Multiple of 51 and 54

LCM of 51 and 54 is 918

Least common multiple can be found by multiplying the highest exponent prime factors of 51 and 54. First we will calculate the prime factors of 51 and 54.

Prime Factorization of 51


3 51
17 17
1

Prime factors of 51 are 3,17. Prime factorization of 51 in exponential form is:

51 = 31×171

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 51 and 54.

LCM(51,54) = 21×33×171
LCM(51,54) = 918

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 51 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 51 and 54, than apply into the LCM equation.

GCF(51,54) = 3
LCM(51,54) = ( 51 × 54) / 3
LCM(51,54) = 2754 / 3
LCM(51,54) = 918

Properties of LCM 51 and 54

(i) The LCM of 54 and 51 is associative

LCM of 51 and 54 = LCM of 54 and 51

Related Least Common Multiples of 51

Related Least Common Multiples of 54

Frequently Asked Questions on LCM of 51 and 54

1. What is the LCM of 51 and 54?

Answer: LCM of 51 and 54 is 918.

2. What are the Factors of 51?

Answer: Factors of 51 are 1, 3, 17, 51. There are 4 integers that are factors of 51. The greatest factor of 51 is 51.

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 51 and 54?

Answer:

Least Common Multiple of 51 and 54 = 918

Step 1: Find the prime factorization of 51

51 = 3 x 17

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 = 918 = 2 x 3 x 3 x 3 x 17

Step 4: Therefore, the least common multiple of 51 and 54 is 918.