Least Common Multiple of 3056 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 3056 and 3063 the smallest integer that is 9360528 that is divisible by both numbers.

Least Common Multiple (LCM) of 3056 and 3063 is 9360528.

LCM(3056,3063) = 9360528

LCM of 3056 and 3063

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

LCM of:
and

Least Common Multiple of 3056 and 3063

LCM of 3056 and 3063 is 9360528

Least common multiple can be found by multiplying the highest exponent prime factors of 3056 and 3063. First we will calculate the prime factors of 3056 and 3063.

Prime Factorization of 3056


2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 3056 are 2,191. Prime factorization of 3056 in exponential form is:

3056 = 24×1911

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 3056 and 3063.

LCM(3056,3063) = 24×31×1911×10211
LCM(3056,3063) = 9360528

Factors of 3056

List of positive integer factors of 3056 that divides 3056 without a remainder.

1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056

Factors of 3063

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

1, 3, 1021, 3063

Least Common Multiple of 3056 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 3056 and 3063, than apply into the LCM equation.

GCF(3056,3063) = 1
LCM(3056,3063) = ( 3056 × 3063) / 1
LCM(3056,3063) = 9360528 / 1
LCM(3056,3063) = 9360528

Properties of LCM 3056 and 3063

(i) The LCM of 3063 and 3056 is associative

LCM of 3056 and 3063 = LCM of 3063 and 3056

Related Least Common Multiples of 3056

Related Least Common Multiples of 3063

Frequently Asked Questions on LCM of 3056 and 3063

1. What is the LCM of 3056 and 3063?

Answer: LCM of 3056 and 3063 is 9360528.

2. What are the Factors of 3056?

Answer: Factors of 3056 are 1, 2, 4, 8, 16, 191, 382, 764, 1528, 3056. There are 10 integers that are factors of 3056. The greatest factor of 3056 is 3056.

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 3056 and 3063?

Answer:

Least Common Multiple of 3056 and 3063 = 9360528

Step 1: Find the prime factorization of 3056

3056 = 2 x 2 x 2 x 2 x 191

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 = 9360528 = 2 x 2 x 2 x 2 x 3 x 191 x 1021

Step 4: Therefore, the least common multiple of 3056 and 3063 is 9360528.