Least Common Multiple of 3055 and 3063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3055 and 3063 the smallest integer that is 9357465 that is divisible by both numbers.

Least Common Multiple (LCM) of 3055 and 3063 is 9357465.

LCM(3055,3063) = 9357465

LCM of 3055 and 3063

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

LCM of:
and

Least Common Multiple of 3055 and 3063

LCM of 3055 and 3063 is 9357465

Least common multiple can be found by multiplying the highest exponent prime factors of 3055 and 3063. First we will calculate the prime factors of 3055 and 3063.

Prime Factorization of 3055


5 3055
13 611
47 47
1

Prime factors of 3055 are 5, 13,47. Prime factorization of 3055 in exponential form is:

3055 = 51×131×471

Prime Factorization of 3063


3 3063
1021 1021
1

Prime factors of 3063 are 3,1021. Prime factorization of 3063 in exponential form is:

3063 = 31×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 3055 and 3063.

LCM(3055,3063) = 31×51×131×471×10211
LCM(3055,3063) = 9357465

Factors of 3055

List of positive integer factors of 3055 that divides 3055 without a remainder.

1, 5, 13, 47, 65, 235, 611, 3055

Factors of 3063

List of positive integer factors of 3063 that divides 3063 without a remainder.

1, 3, 1021, 3063

Least Common Multiple of 3055 and 3063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3055 and 3063, than apply into the LCM equation.

GCF(3055,3063) = 1
LCM(3055,3063) = ( 3055 × 3063) / 1
LCM(3055,3063) = 9357465 / 1
LCM(3055,3063) = 9357465

Properties of LCM 3055 and 3063

(i) The LCM of 3063 and 3055 is associative

LCM of 3055 and 3063 = LCM of 3063 and 3055

Related Least Common Multiples of 3055

Related Least Common Multiples of 3063

Frequently Asked Questions on LCM of 3055 and 3063

1. What is the LCM of 3055 and 3063?

Answer: LCM of 3055 and 3063 is 9357465.

2. What are the Factors of 3055?

Answer: Factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055. There are 8 integers that are factors of 3055. The greatest factor of 3055 is 3055.

3. What are the Factors of 3063?

Answer: Factors of 3063 are 1, 3, 1021, 3063. There are 4 integers that are factors of 3063. The greatest factor of 3063 is 3063.

4. How to Find the LCM of 3055 and 3063?

Answer:

Least Common Multiple of 3055 and 3063 = 9357465

Step 1: Find the prime factorization of 3055

3055 = 5 x 13 x 47

Step 2: Find the prime factorization of 3063

3063 = 3 x 1021

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

LCM = 9357465 = 3 x 5 x 13 x 47 x 1021

Step 4: Therefore, the least common multiple of 3055 and 3063 is 9357465.