Least Common Multiple of 54 and 61

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 61 the smallest integer that is 3294 that is divisible by both numbers.

Least Common Multiple (LCM) of 54 and 61 is 3294.

LCM(54,61) = 3294

LCM of 54 and 61

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

LCM of:
and

Least Common Multiple of 54 and 61

LCM of 54 and 61 is 3294

Least common multiple can be found by multiplying the highest exponent prime factors of 54 and 61. First we will calculate the prime factors of 54 and 61.

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 61


61 61
1

Prime factors of 61 are 61. Prime factorization of 61 in exponential form is:

61 = 611

Now multiplying the highest exponent prime factors to calculate the LCM of 54 and 61.

LCM(54,61) = 21×33×611
LCM(54,61) = 3294

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 61

List of positive integer factors of 61 that divides 61 without a remainder.

1, 61

Least Common Multiple of 54 and 61 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 61, than apply into the LCM equation.

GCF(54,61) = 1
LCM(54,61) = ( 54 × 61) / 1
LCM(54,61) = 3294 / 1
LCM(54,61) = 3294

Properties of LCM 54 and 61

(i) The LCM of 61 and 54 is associative

LCM of 54 and 61 = LCM of 61 and 54

Related Least Common Multiples of 54

Related Least Common Multiples of 61

Frequently Asked Questions on LCM of 54 and 61

1. What is the LCM of 54 and 61?

Answer: LCM of 54 and 61 is 3294.

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 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

4. How to Find the LCM of 54 and 61?

Answer:

Least Common Multiple of 54 and 61 = 3294

Step 1: Find the prime factorization of 54

54 = 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 61

61 = 61

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

LCM = 3294 = 2 x 3 x 3 x 3 x 61

Step 4: Therefore, the least common multiple of 54 and 61 is 3294.