Least Common Multiple of 8077 and 8082

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8077 and 8082 the smallest integer that is 65278314 that is divisible by both numbers.

Least Common Multiple (LCM) of 8077 and 8082 is 65278314.

LCM(8077,8082) = 65278314

LCM of 8077 and 8082

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

LCM of:
and

Least Common Multiple of 8077 and 8082

LCM of 8077 and 8082 is 65278314

Least common multiple can be found by multiplying the highest exponent prime factors of 8077 and 8082. First we will calculate the prime factors of 8077 and 8082.

Prime Factorization of 8077


41 8077
197 197
1

Prime factors of 8077 are 41,197. Prime factorization of 8077 in exponential form is:

8077 = 411×1971

Prime Factorization of 8082


2 8082
3 4041
3 1347
449 449
1

Prime factors of 8082 are 2, 3,449. Prime factorization of 8082 in exponential form is:

8082 = 21×32×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 8077 and 8082.

LCM(8077,8082) = 21×32×411×1971×4491
LCM(8077,8082) = 65278314

Factors of 8077

List of positive integer factors of 8077 that divides 8077 without a remainder.

1, 41, 197, 8077

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082

Least Common Multiple of 8077 and 8082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8077 and 8082, than apply into the LCM equation.

GCF(8077,8082) = 1
LCM(8077,8082) = ( 8077 × 8082) / 1
LCM(8077,8082) = 65278314 / 1
LCM(8077,8082) = 65278314

Properties of LCM 8077 and 8082

(i) The LCM of 8082 and 8077 is associative

LCM of 8077 and 8082 = LCM of 8082 and 8077

Related Least Common Multiples of 8077

Related Least Common Multiples of 8082

Frequently Asked Questions on LCM of 8077 and 8082

1. What is the LCM of 8077 and 8082?

Answer: LCM of 8077 and 8082 is 65278314.

2. What are the Factors of 8077?

Answer: Factors of 8077 are 1, 41, 197, 8077. There are 4 integers that are factors of 8077. The greatest factor of 8077 is 8077.

3. What are the Factors of 8082?

Answer: Factors of 8082 are 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082. There are 12 integers that are factors of 8082. The greatest factor of 8082 is 8082.

4. How to Find the LCM of 8077 and 8082?

Answer:

Least Common Multiple of 8077 and 8082 = 65278314

Step 1: Find the prime factorization of 8077

8077 = 41 x 197

Step 2: Find the prime factorization of 8082

8082 = 2 x 3 x 3 x 449

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

LCM = 65278314 = 2 x 3 x 3 x 41 x 197 x 449

Step 4: Therefore, the least common multiple of 8077 and 8082 is 65278314.