Least Common Multiple of 8077 and 8079

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 8079 the smallest integer that is 65254083 that is divisible by both numbers.

Least Common Multiple (LCM) of 8077 and 8079 is 65254083.

LCM(8077,8079) = 65254083

LCM of 8077 and 8079

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

LCM of:
and

Least Common Multiple of 8077 and 8079

LCM of 8077 and 8079 is 65254083

Least common multiple can be found by multiplying the highest exponent prime factors of 8077 and 8079. First we will calculate the prime factors of 8077 and 8079.

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 8079


3 8079
2693 2693
1

Prime factors of 8079 are 3,2693. Prime factorization of 8079 in exponential form is:

8079 = 31×26931

Now multiplying the highest exponent prime factors to calculate the LCM of 8077 and 8079.

LCM(8077,8079) = 31×411×1971×26931
LCM(8077,8079) = 65254083

Factors of 8077

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

1, 41, 197, 8077

Factors of 8079

List of positive integer factors of 8079 that divides 8079 without a remainder.

1, 3, 2693, 8079

Least Common Multiple of 8077 and 8079 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 8079, than apply into the LCM equation.

GCF(8077,8079) = 1
LCM(8077,8079) = ( 8077 × 8079) / 1
LCM(8077,8079) = 65254083 / 1
LCM(8077,8079) = 65254083

Properties of LCM 8077 and 8079

(i) The LCM of 8079 and 8077 is associative

LCM of 8077 and 8079 = LCM of 8079 and 8077

Related Least Common Multiples of 8077

Related Least Common Multiples of 8079

Frequently Asked Questions on LCM of 8077 and 8079

1. What is the LCM of 8077 and 8079?

Answer: LCM of 8077 and 8079 is 65254083.

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 8079?

Answer: Factors of 8079 are 1, 3, 2693, 8079. There are 4 integers that are factors of 8079. The greatest factor of 8079 is 8079.

4. How to Find the LCM of 8077 and 8079?

Answer:

Least Common Multiple of 8077 and 8079 = 65254083

Step 1: Find the prime factorization of 8077

8077 = 41 x 197

Step 2: Find the prime factorization of 8079

8079 = 3 x 2693

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

LCM = 65254083 = 3 x 41 x 197 x 2693

Step 4: Therefore, the least common multiple of 8077 and 8079 is 65254083.