Least Common Multiple of 8076 and 8077

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 8077 the smallest integer that is 65229852 that is divisible by both numbers.

Least Common Multiple (LCM) of 8076 and 8077 is 65229852.

LCM(8076,8077) = 65229852

LCM of 8076 and 8077

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

LCM of:
and

Least Common Multiple of 8076 and 8077

LCM of 8076 and 8077 is 65229852

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8077. First we will calculate the prime factors of 8076 and 8077.

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 8077


41 8077
197 197
1

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

8077 = 411×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8076 and 8077.

LCM(8076,8077) = 22×31×411×1971×6731
LCM(8076,8077) = 65229852

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 8077

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

1, 41, 197, 8077

Least Common Multiple of 8076 and 8077 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 8077, than apply into the LCM equation.

GCF(8076,8077) = 1
LCM(8076,8077) = ( 8076 × 8077) / 1
LCM(8076,8077) = 65229852 / 1
LCM(8076,8077) = 65229852

Properties of LCM 8076 and 8077

(i) The LCM of 8077 and 8076 is associative

LCM of 8076 and 8077 = LCM of 8077 and 8076

Related Least Common Multiples of 8076

Related Least Common Multiples of 8077

Frequently Asked Questions on LCM of 8076 and 8077

1. What is the LCM of 8076 and 8077?

Answer: LCM of 8076 and 8077 is 65229852.

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 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.

4. How to Find the LCM of 8076 and 8077?

Answer:

Least Common Multiple of 8076 and 8077 = 65229852

Step 1: Find the prime factorization of 8076

8076 = 2 x 2 x 3 x 673

Step 2: Find the prime factorization of 8077

8077 = 41 x 197

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

LCM = 65229852 = 2 x 2 x 3 x 41 x 197 x 673

Step 4: Therefore, the least common multiple of 8076 and 8077 is 65229852.