Least Common Multiple of 8079 and 8085

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 8085 the smallest integer that is 21772905 that is divisible by both numbers.

Least Common Multiple (LCM) of 8079 and 8085 is 21772905.

LCM(8079,8085) = 21772905

LCM of 8079 and 8085

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

LCM of:
and

Least Common Multiple of 8079 and 8085

LCM of 8079 and 8085 is 21772905

Least common multiple can be found by multiplying the highest exponent prime factors of 8079 and 8085. First we will calculate the prime factors of 8079 and 8085.

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 8085


3 8085
5 2695
7 539
7 77
11 11
1

Prime factors of 8085 are 3, 5, 7,11. Prime factorization of 8085 in exponential form is:

8085 = 31×51×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 8079 and 8085.

LCM(8079,8085) = 31×51×72×111×26931
LCM(8079,8085) = 21772905

Factors of 8079

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

1, 3, 2693, 8079

Factors of 8085

List of positive integer factors of 8085 that divides 8085 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085

Least Common Multiple of 8079 and 8085 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 8085, than apply into the LCM equation.

GCF(8079,8085) = 3
LCM(8079,8085) = ( 8079 × 8085) / 3
LCM(8079,8085) = 65318715 / 3
LCM(8079,8085) = 21772905

Properties of LCM 8079 and 8085

(i) The LCM of 8085 and 8079 is associative

LCM of 8079 and 8085 = LCM of 8085 and 8079

Related Least Common Multiples of 8079

Related Least Common Multiples of 8085

Frequently Asked Questions on LCM of 8079 and 8085

1. What is the LCM of 8079 and 8085?

Answer: LCM of 8079 and 8085 is 21772905.

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 8085?

Answer: Factors of 8085 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085. There are 24 integers that are factors of 8085. The greatest factor of 8085 is 8085.

4. How to Find the LCM of 8079 and 8085?

Answer:

Least Common Multiple of 8079 and 8085 = 21772905

Step 1: Find the prime factorization of 8079

8079 = 3 x 2693

Step 2: Find the prime factorization of 8085

8085 = 3 x 5 x 7 x 7 x 11

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

LCM = 21772905 = 3 x 5 x 7 x 7 x 11 x 2693

Step 4: Therefore, the least common multiple of 8079 and 8085 is 21772905.