Least Common Multiple of 8076 and 8079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8076 and 8079 the smallest integer that is 21748668 that is divisible by both numbers.

Least Common Multiple (LCM) of 8076 and 8079 is 21748668.

LCM(8076,8079) = 21748668

LCM of 8076 and 8079

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

LCM of:
and

Least Common Multiple of 8076 and 8079

LCM of 8076 and 8079 is 21748668

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8079. First we will calculate the prime factors of 8076 and 8079.

Prime Factorization of 8076


2 8076
2 4038
3 2019
673 673
1

Prime factors of 8076 are 2, 3,673. Prime factorization of 8076 in exponential form is:

8076 = 22×31×6731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8076 and 8079.

LCM(8076,8079) = 22×31×6731×26931
LCM(8076,8079) = 21748668

Factors of 8076

List of positive integer factors of 8076 that divides 8076 without a remainder.

1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076

Factors of 8079

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

1, 3, 2693, 8079

Least Common Multiple of 8076 and 8079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8076 and 8079, than apply into the LCM equation.

GCF(8076,8079) = 3
LCM(8076,8079) = ( 8076 × 8079) / 3
LCM(8076,8079) = 65246004 / 3
LCM(8076,8079) = 21748668

Properties of LCM 8076 and 8079

(i) The LCM of 8079 and 8076 is associative

LCM of 8076 and 8079 = LCM of 8079 and 8076

Related Least Common Multiples of 8076

Related Least Common Multiples of 8079

Frequently Asked Questions on LCM of 8076 and 8079

1. What is the LCM of 8076 and 8079?

Answer: LCM of 8076 and 8079 is 21748668.

2. What are the Factors of 8076?

Answer: Factors of 8076 are 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076. There are 12 integers that are factors of 8076. The greatest factor of 8076 is 8076.

3. 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.

4. How to Find the LCM of 8076 and 8079?

Answer:

Least Common Multiple of 8076 and 8079 = 21748668

Step 1: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

Step 2: Find the prime factorization of 8079

8079 = 3 x 2693

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

LCM = 21748668 = 2 x 2 x 3 x 673 x 2693

Step 4: Therefore, the least common multiple of 8076 and 8079 is 21748668.