Least Common Multiple of 8076 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 8076 and 8078 the smallest integer that is 32618964 that is divisible by both numbers.

Least Common Multiple (LCM) of 8076 and 8078 is 32618964.

LCM(8076,8078) = 32618964

LCM of 8076 and 8078

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

LCM of:
and

Least Common Multiple of 8076 and 8078

LCM of 8076 and 8078 is 32618964

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8078. First we will calculate the prime factors of 8076 and 8078.

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 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 8076 and 8078.

LCM(8076,8078) = 22×31×71×5771×6731
LCM(8076,8078) = 32618964

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 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 8076 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 8076 and 8078, than apply into the LCM equation.

GCF(8076,8078) = 2
LCM(8076,8078) = ( 8076 × 8078) / 2
LCM(8076,8078) = 65237928 / 2
LCM(8076,8078) = 32618964

Properties of LCM 8076 and 8078

(i) The LCM of 8078 and 8076 is associative

LCM of 8076 and 8078 = LCM of 8078 and 8076

Related Least Common Multiples of 8076

Related Least Common Multiples of 8078

Frequently Asked Questions on LCM of 8076 and 8078

1. What is the LCM of 8076 and 8078?

Answer: LCM of 8076 and 8078 is 32618964.

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 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 8076 and 8078?

Answer:

Least Common Multiple of 8076 and 8078 = 32618964

Step 1: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

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 = 32618964 = 2 x 2 x 3 x 7 x 577 x 673

Step 4: Therefore, the least common multiple of 8076 and 8078 is 32618964.