Least Common Multiple of 54 and 73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 54 and 73 the smallest integer that is 3942 that is divisible by both numbers.

Least Common Multiple (LCM) of 54 and 73 is 3942.

LCM(54,73) = 3942

LCM of 54 and 73

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

LCM of:
and

Least Common Multiple of 54 and 73

LCM of 54 and 73 is 3942

Least common multiple can be found by multiplying the highest exponent prime factors of 54 and 73. First we will calculate the prime factors of 54 and 73.

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

Prime Factorization of 73


73 73
1

Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:

73 = 731

Now multiplying the highest exponent prime factors to calculate the LCM of 54 and 73.

LCM(54,73) = 21×33×731
LCM(54,73) = 3942

Factors of 54

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

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

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1, 73

Least Common Multiple of 54 and 73 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54 and 73, than apply into the LCM equation.

GCF(54,73) = 1
LCM(54,73) = ( 54 × 73) / 1
LCM(54,73) = 3942 / 1
LCM(54,73) = 3942

Properties of LCM 54 and 73

(i) The LCM of 73 and 54 is associative

LCM of 54 and 73 = LCM of 73 and 54

Related Least Common Multiples of 54

Related Least Common Multiples of 73

Frequently Asked Questions on LCM of 54 and 73

1. What is the LCM of 54 and 73?

Answer: LCM of 54 and 73 is 3942.

2. 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.

3. What are the Factors of 73?

Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.

4. How to Find the LCM of 54 and 73?

Answer:

Least Common Multiple of 54 and 73 = 3942

Step 1: Find the prime factorization of 54

54 = 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 73

73 = 73

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

LCM = 3942 = 2 x 3 x 3 x 3 x 73

Step 4: Therefore, the least common multiple of 54 and 73 is 3942.