Least Common Multiple of 5 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 5 and 55 the smallest integer that is 55 that is divisible by both numbers.

Least Common Multiple (LCM) of 5 and 55 is 55.

LCM(5,55) = 55

LCM of 5 and 55

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

LCM of:
and

Least Common Multiple of 5 and 55

LCM of 5 and 55 is 55

Least common multiple can be found by multiplying the highest exponent prime factors of 5 and 55. First we will calculate the prime factors of 5 and 55.

Prime Factorization of 5


5 5
1

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

5 = 51

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 5 and 55.

LCM(5,55) = 51×111
LCM(5,55) = 55

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1, 5

Factors of 55

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

1, 5, 11, 55

Least Common Multiple of 5 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 5 and 55, than apply into the LCM equation.

GCF(5,55) = 5
LCM(5,55) = ( 5 × 55) / 5
LCM(5,55) = 275 / 5
LCM(5,55) = 55

Properties of LCM 5 and 55

(i) The LCM of 55 and 5 is associative

LCM of 5 and 55 = LCM of 55 and 5

Related Least Common Multiples of 5

Related Least Common Multiples of 55

Frequently Asked Questions on LCM of 5 and 55

1. What is the LCM of 5 and 55?

Answer: LCM of 5 and 55 is 55.

2. What are the Factors of 5?

Answer: Factors of 5 are 1, 5. There are 2 integers that are factors of 5. The greatest factor of 5 is 5.

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 5 and 55?

Answer:

Least Common Multiple of 5 and 55 = 55

Step 1: Find the prime factorization of 5

5 = 5

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 = 55 = 5 x 11

Step 4: Therefore, the least common multiple of 5 and 55 is 55.