Least Common Multiple of 54 and 62

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 62 the smallest integer that is 1674 that is divisible by both numbers.

Least Common Multiple (LCM) of 54 and 62 is 1674.

LCM(54,62) = 1674

LCM of 54 and 62

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

LCM of:
and

Least Common Multiple of 54 and 62

LCM of 54 and 62 is 1674

Least common multiple can be found by multiplying the highest exponent prime factors of 54 and 62. First we will calculate the prime factors of 54 and 62.

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 62


2 62
31 31
1

Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:

62 = 21×311

Now multiplying the highest exponent prime factors to calculate the LCM of 54 and 62.

LCM(54,62) = 21×33×311
LCM(54,62) = 1674

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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Least Common Multiple of 54 and 62 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 62, than apply into the LCM equation.

GCF(54,62) = 2
LCM(54,62) = ( 54 × 62) / 2
LCM(54,62) = 3348 / 2
LCM(54,62) = 1674

Properties of LCM 54 and 62

(i) The LCM of 62 and 54 is associative

LCM of 54 and 62 = LCM of 62 and 54

Related Least Common Multiples of 54

Related Least Common Multiples of 62

Frequently Asked Questions on LCM of 54 and 62

1. What is the LCM of 54 and 62?

Answer: LCM of 54 and 62 is 1674.

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 62?

Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.

4. How to Find the LCM of 54 and 62?

Answer:

Least Common Multiple of 54 and 62 = 1674

Step 1: Find the prime factorization of 54

54 = 2 x 3 x 3 x 3

Step 2: Find the prime factorization of 62

62 = 2 x 31

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

LCM = 1674 = 2 x 3 x 3 x 3 x 31

Step 4: Therefore, the least common multiple of 54 and 62 is 1674.