Least Common Multiple of 8072 and 8078

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 8078 the smallest integer that is 32602808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8072 and 8078 is 32602808.

LCM(8072,8078) = 32602808

LCM of 8072 and 8078

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

LCM of:
and

Least Common Multiple of 8072 and 8078

LCM of 8072 and 8078 is 32602808

Least common multiple can be found by multiplying the highest exponent prime factors of 8072 and 8078. First we will calculate the prime factors of 8072 and 8078.

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 8078


2 8078
7 4039
577 577
1

Prime factors of 8078 are 2, 7,577. Prime factorization of 8078 in exponential form is:

8078 = 21×71×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 8072 and 8078.

LCM(8072,8078) = 23×71×5771×10091
LCM(8072,8078) = 32602808

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 8078

List of positive integer factors of 8078 that divides 8078 without a remainder.

1, 2, 7, 14, 577, 1154, 4039, 8078

Least Common Multiple of 8072 and 8078 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 8078, than apply into the LCM equation.

GCF(8072,8078) = 2
LCM(8072,8078) = ( 8072 × 8078) / 2
LCM(8072,8078) = 65205616 / 2
LCM(8072,8078) = 32602808

Properties of LCM 8072 and 8078

(i) The LCM of 8078 and 8072 is associative

LCM of 8072 and 8078 = LCM of 8078 and 8072

Related Least Common Multiples of 8072

Related Least Common Multiples of 8078

Frequently Asked Questions on LCM of 8072 and 8078

1. What is the LCM of 8072 and 8078?

Answer: LCM of 8072 and 8078 is 32602808.

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 8078?

Answer: Factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078. There are 8 integers that are factors of 8078. The greatest factor of 8078 is 8078.

4. How to Find the LCM of 8072 and 8078?

Answer:

Least Common Multiple of 8072 and 8078 = 32602808

Step 1: Find the prime factorization of 8072

8072 = 2 x 2 x 2 x 1009

Step 2: Find the prime factorization of 8078

8078 = 2 x 7 x 577

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

LCM = 32602808 = 2 x 2 x 2 x 7 x 577 x 1009

Step 4: Therefore, the least common multiple of 8072 and 8078 is 32602808.