Least Common Multiple of 54 and 55

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 55 the smallest integer that is 2970 that is divisible by both numbers.

Least Common Multiple (LCM) of 54 and 55 is 2970.

LCM(54,55) = 2970

LCM of 54 and 55

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

LCM of:
and

Least Common Multiple of 54 and 55

LCM of 54 and 55 is 2970

Least common multiple can be found by multiplying the highest exponent prime factors of 54 and 55. First we will calculate the prime factors of 54 and 55.

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 55


5 55
11 11
1

Prime factors of 55 are 5,11. Prime factorization of 55 in exponential form is:

55 = 51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 54 and 55.

LCM(54,55) = 21×33×51×111
LCM(54,55) = 2970

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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Least Common Multiple of 54 and 55 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 55, than apply into the LCM equation.

GCF(54,55) = 1
LCM(54,55) = ( 54 × 55) / 1
LCM(54,55) = 2970 / 1
LCM(54,55) = 2970

Properties of LCM 54 and 55

(i) The LCM of 55 and 54 is associative

LCM of 54 and 55 = LCM of 55 and 54

Related Least Common Multiples of 54

Related Least Common Multiples of 55

Frequently Asked Questions on LCM of 54 and 55

1. What is the LCM of 54 and 55?

Answer: LCM of 54 and 55 is 2970.

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 55?

Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.

4. How to Find the LCM of 54 and 55?

Answer:

Least Common Multiple of 54 and 55 = 2970

Step 1: Find the prime factorization of 54

54 = 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 55

55 = 5 x 11

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

LCM = 2970 = 2 x 3 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 54 and 55 is 2970.