Least Common Multiple of 4056 and 4063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4056 and 4063 the smallest integer that is 16479528 that is divisible by both numbers.

Least Common Multiple (LCM) of 4056 and 4063 is 16479528.

LCM(4056,4063) = 16479528

LCM of 4056 and 4063

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

LCM of:
and

Least Common Multiple of 4056 and 4063

LCM of 4056 and 4063 is 16479528

Least common multiple can be found by multiplying the highest exponent prime factors of 4056 and 4063. First we will calculate the prime factors of 4056 and 4063.

Prime Factorization of 4056


2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 4056 are 2, 3,13. Prime factorization of 4056 in exponential form is:

4056 = 23×31×132

Prime Factorization of 4063


17 4063
239 239
1

Prime factors of 4063 are 17,239. Prime factorization of 4063 in exponential form is:

4063 = 171×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 4056 and 4063.

LCM(4056,4063) = 23×31×132×171×2391
LCM(4056,4063) = 16479528

Factors of 4056

List of positive integer factors of 4056 that divides 4056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056

Factors of 4063

List of positive integer factors of 4063 that divides 4063 without a remainder.

1, 17, 239, 4063

Least Common Multiple of 4056 and 4063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4056 and 4063, than apply into the LCM equation.

GCF(4056,4063) = 1
LCM(4056,4063) = ( 4056 × 4063) / 1
LCM(4056,4063) = 16479528 / 1
LCM(4056,4063) = 16479528

Properties of LCM 4056 and 4063

(i) The LCM of 4063 and 4056 is associative

LCM of 4056 and 4063 = LCM of 4063 and 4056

Related Least Common Multiples of 4056

Related Least Common Multiples of 4063

Frequently Asked Questions on LCM of 4056 and 4063

1. What is the LCM of 4056 and 4063?

Answer: LCM of 4056 and 4063 is 16479528.

2. What are the Factors of 4056?

Answer: Factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056. There are 24 integers that are factors of 4056. The greatest factor of 4056 is 4056.

3. What are the Factors of 4063?

Answer: Factors of 4063 are 1, 17, 239, 4063. There are 4 integers that are factors of 4063. The greatest factor of 4063 is 4063.

4. How to Find the LCM of 4056 and 4063?

Answer:

Least Common Multiple of 4056 and 4063 = 16479528

Step 1: Find the prime factorization of 4056

4056 = 2 x 2 x 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 4063

4063 = 17 x 239

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

LCM = 16479528 = 2 x 2 x 2 x 3 x 13 x 13 x 17 x 239

Step 4: Therefore, the least common multiple of 4056 and 4063 is 16479528.