Least Common Multiple of 8059 and 8063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8059 and 8063 the smallest integer that is 64979717 that is divisible by both numbers.

Least Common Multiple (LCM) of 8059 and 8063 is 64979717.

LCM(8059,8063) = 64979717

LCM of 8059 and 8063

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

LCM of:
and

Least Common Multiple of 8059 and 8063

LCM of 8059 and 8063 is 64979717

Least common multiple can be found by multiplying the highest exponent prime factors of 8059 and 8063. First we will calculate the prime factors of 8059 and 8063.

Prime Factorization of 8059


8059 8059
1

Prime factors of 8059 are 8059. Prime factorization of 8059 in exponential form is:

8059 = 80591

Prime Factorization of 8063


11 8063
733 733
1

Prime factors of 8063 are 11,733. Prime factorization of 8063 in exponential form is:

8063 = 111×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 8059 and 8063.

LCM(8059,8063) = 111×7331×80591
LCM(8059,8063) = 64979717

Factors of 8059

List of positive integer factors of 8059 that divides 8059 without a remainder.

1, 8059

Factors of 8063

List of positive integer factors of 8063 that divides 8063 without a remainder.

1, 11, 733, 8063

Least Common Multiple of 8059 and 8063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8059 and 8063, than apply into the LCM equation.

GCF(8059,8063) = 1
LCM(8059,8063) = ( 8059 × 8063) / 1
LCM(8059,8063) = 64979717 / 1
LCM(8059,8063) = 64979717

Properties of LCM 8059 and 8063

(i) The LCM of 8063 and 8059 is associative

LCM of 8059 and 8063 = LCM of 8063 and 8059

Related Least Common Multiples of 8059

Related Least Common Multiples of 8063

Frequently Asked Questions on LCM of 8059 and 8063

1. What is the LCM of 8059 and 8063?

Answer: LCM of 8059 and 8063 is 64979717.

2. What are the Factors of 8059?

Answer: Factors of 8059 are 1, 8059. There are 2 integers that are factors of 8059. The greatest factor of 8059 is 8059.

3. What are the Factors of 8063?

Answer: Factors of 8063 are 1, 11, 733, 8063. There are 4 integers that are factors of 8063. The greatest factor of 8063 is 8063.

4. How to Find the LCM of 8059 and 8063?

Answer:

Least Common Multiple of 8059 and 8063 = 64979717

Step 1: Find the prime factorization of 8059

8059 = 8059

Step 2: Find the prime factorization of 8063

8063 = 11 x 733

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

LCM = 64979717 = 11 x 733 x 8059

Step 4: Therefore, the least common multiple of 8059 and 8063 is 64979717.