Least Common Multiple of 8079 and 8083

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8079 and 8083 the smallest integer that is 65302557 that is divisible by both numbers.

Least Common Multiple (LCM) of 8079 and 8083 is 65302557.

LCM(8079,8083) = 65302557

LCM of 8079 and 8083

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

LCM of:
and

Least Common Multiple of 8079 and 8083

LCM of 8079 and 8083 is 65302557

Least common multiple can be found by multiplying the highest exponent prime factors of 8079 and 8083. First we will calculate the prime factors of 8079 and 8083.

Prime Factorization of 8079


3 8079
2693 2693
1

Prime factors of 8079 are 3,2693. Prime factorization of 8079 in exponential form is:

8079 = 31×26931

Prime Factorization of 8083


59 8083
137 137
1

Prime factors of 8083 are 59,137. Prime factorization of 8083 in exponential form is:

8083 = 591×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8079 and 8083.

LCM(8079,8083) = 31×591×1371×26931
LCM(8079,8083) = 65302557

Factors of 8079

List of positive integer factors of 8079 that divides 8079 without a remainder.

1, 3, 2693, 8079

Factors of 8083

List of positive integer factors of 8083 that divides 8083 without a remainder.

1, 59, 137, 8083

Least Common Multiple of 8079 and 8083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8079 and 8083, than apply into the LCM equation.

GCF(8079,8083) = 1
LCM(8079,8083) = ( 8079 × 8083) / 1
LCM(8079,8083) = 65302557 / 1
LCM(8079,8083) = 65302557

Properties of LCM 8079 and 8083

(i) The LCM of 8083 and 8079 is associative

LCM of 8079 and 8083 = LCM of 8083 and 8079

Related Least Common Multiples of 8079

Related Least Common Multiples of 8083

Frequently Asked Questions on LCM of 8079 and 8083

1. What is the LCM of 8079 and 8083?

Answer: LCM of 8079 and 8083 is 65302557.

2. What are the Factors of 8079?

Answer: Factors of 8079 are 1, 3, 2693, 8079. There are 4 integers that are factors of 8079. The greatest factor of 8079 is 8079.

3. What are the Factors of 8083?

Answer: Factors of 8083 are 1, 59, 137, 8083. There are 4 integers that are factors of 8083. The greatest factor of 8083 is 8083.

4. How to Find the LCM of 8079 and 8083?

Answer:

Least Common Multiple of 8079 and 8083 = 65302557

Step 1: Find the prime factorization of 8079

8079 = 3 x 2693

Step 2: Find the prime factorization of 8083

8083 = 59 x 137

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

LCM = 65302557 = 3 x 59 x 137 x 2693

Step 4: Therefore, the least common multiple of 8079 and 8083 is 65302557.