Least Common Multiple of 4063 and 4068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4063 and 4068 the smallest integer that is 16528284 that is divisible by both numbers.

Least Common Multiple (LCM) of 4063 and 4068 is 16528284.

LCM(4063,4068) = 16528284

LCM of 4063 and 4068

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

LCM of:
and

Least Common Multiple of 4063 and 4068

LCM of 4063 and 4068 is 16528284

Least common multiple can be found by multiplying the highest exponent prime factors of 4063 and 4068. First we will calculate the prime factors of 4063 and 4068.

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

Prime Factorization of 4068


2 4068
2 2034
3 1017
3 339
113 113
1

Prime factors of 4068 are 2, 3,113. Prime factorization of 4068 in exponential form is:

4068 = 22×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4063 and 4068.

LCM(4063,4068) = 22×32×171×1131×2391
LCM(4063,4068) = 16528284

Factors of 4063

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

1, 17, 239, 4063

Factors of 4068

List of positive integer factors of 4068 that divides 4068 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068

Least Common Multiple of 4063 and 4068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4063 and 4068, than apply into the LCM equation.

GCF(4063,4068) = 1
LCM(4063,4068) = ( 4063 × 4068) / 1
LCM(4063,4068) = 16528284 / 1
LCM(4063,4068) = 16528284

Properties of LCM 4063 and 4068

(i) The LCM of 4068 and 4063 is associative

LCM of 4063 and 4068 = LCM of 4068 and 4063

Related Least Common Multiples of 4063

Related Least Common Multiples of 4068

Frequently Asked Questions on LCM of 4063 and 4068

1. What is the LCM of 4063 and 4068?

Answer: LCM of 4063 and 4068 is 16528284.

2. 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.

3. What are the Factors of 4068?

Answer: Factors of 4068 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 113, 226, 339, 452, 678, 1017, 1356, 2034, 4068. There are 18 integers that are factors of 4068. The greatest factor of 4068 is 4068.

4. How to Find the LCM of 4063 and 4068?

Answer:

Least Common Multiple of 4063 and 4068 = 16528284

Step 1: Find the prime factorization of 4063

4063 = 17 x 239

Step 2: Find the prime factorization of 4068

4068 = 2 x 2 x 3 x 3 x 113

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

LCM = 16528284 = 2 x 2 x 3 x 3 x 17 x 113 x 239

Step 4: Therefore, the least common multiple of 4063 and 4068 is 16528284.