Least Common Multiple of 8072 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 8072 and 8079 the smallest integer that is 65213688 that is divisible by both numbers.

Least Common Multiple (LCM) of 8072 and 8079 is 65213688.

LCM(8072,8079) = 65213688

LCM of 8072 and 8079

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

LCM of:
and

Least Common Multiple of 8072 and 8079

LCM of 8072 and 8079 is 65213688

Least common multiple can be found by multiplying the highest exponent prime factors of 8072 and 8079. First we will calculate the prime factors of 8072 and 8079.

Prime Factorization of 8072


2 8072
2 4036
2 2018
1009 1009
1

Prime factors of 8072 are 2,1009. Prime factorization of 8072 in exponential form is:

8072 = 23×10091

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 8072 and 8079.

LCM(8072,8079) = 23×31×10091×26931
LCM(8072,8079) = 65213688

Factors of 8072

List of positive integer factors of 8072 that divides 8072 without a remainder.

1, 2, 4, 8, 1009, 2018, 4036, 8072

Factors of 8079

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

1, 3, 2693, 8079

Least Common Multiple of 8072 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 8072 and 8079, than apply into the LCM equation.

GCF(8072,8079) = 1
LCM(8072,8079) = ( 8072 × 8079) / 1
LCM(8072,8079) = 65213688 / 1
LCM(8072,8079) = 65213688

Properties of LCM 8072 and 8079

(i) The LCM of 8079 and 8072 is associative

LCM of 8072 and 8079 = LCM of 8079 and 8072

Related Least Common Multiples of 8072

Related Least Common Multiples of 8079

Frequently Asked Questions on LCM of 8072 and 8079

1. What is the LCM of 8072 and 8079?

Answer: LCM of 8072 and 8079 is 65213688.

2. What are the Factors of 8072?

Answer: Factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. There are 8 integers that are factors of 8072. The greatest factor of 8072 is 8072.

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 8072 and 8079?

Answer:

Least Common Multiple of 8072 and 8079 = 65213688

Step 1: Find the prime factorization of 8072

8072 = 2 x 2 x 2 x 1009

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 = 65213688 = 2 x 2 x 2 x 3 x 1009 x 2693

Step 4: Therefore, the least common multiple of 8072 and 8079 is 65213688.