Least Common Multiple of 8076 and 8083

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 8083 the smallest integer that is 65278308 that is divisible by both numbers.

Least Common Multiple (LCM) of 8076 and 8083 is 65278308.

LCM(8076,8083) = 65278308

LCM of 8076 and 8083

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

LCM of:
and

Least Common Multiple of 8076 and 8083

LCM of 8076 and 8083 is 65278308

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8083. First we will calculate the prime factors of 8076 and 8083.

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 8083


59 8083
137 137
1

Prime factors of 8083 are 59,137. Prime factorization of 8083 in exponential form is:

8083 = 591×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8076 and 8083.

LCM(8076,8083) = 22×31×591×1371×6731
LCM(8076,8083) = 65278308

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 8083

List of positive integer factors of 8083 that divides 8083 without a remainder.

1, 59, 137, 8083

Least Common Multiple of 8076 and 8083 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 8083, than apply into the LCM equation.

GCF(8076,8083) = 1
LCM(8076,8083) = ( 8076 × 8083) / 1
LCM(8076,8083) = 65278308 / 1
LCM(8076,8083) = 65278308

Properties of LCM 8076 and 8083

(i) The LCM of 8083 and 8076 is associative

LCM of 8076 and 8083 = LCM of 8083 and 8076

Related Least Common Multiples of 8076

Related Least Common Multiples of 8083

Frequently Asked Questions on LCM of 8076 and 8083

1. What is the LCM of 8076 and 8083?

Answer: LCM of 8076 and 8083 is 65278308.

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 8083?

Answer: Factors of 8083 are 1, 59, 137, 8083. There are 4 integers that are factors of 8083. The greatest factor of 8083 is 8083.

4. How to Find the LCM of 8076 and 8083?

Answer:

Least Common Multiple of 8076 and 8083 = 65278308

Step 1: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

Step 2: Find the prime factorization of 8083

8083 = 59 x 137

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

LCM = 65278308 = 2 x 2 x 3 x 59 x 137 x 673

Step 4: Therefore, the least common multiple of 8076 and 8083 is 65278308.