Least Common Multiple of 7081 and 7086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7081 and 7086 the smallest integer that is 50175966 that is divisible by both numbers.

Least Common Multiple (LCM) of 7081 and 7086 is 50175966.

LCM(7081,7086) = 50175966

LCM of 7081 and 7086

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

LCM of:
and

Least Common Multiple of 7081 and 7086

LCM of 7081 and 7086 is 50175966

Least common multiple can be found by multiplying the highest exponent prime factors of 7081 and 7086. First we will calculate the prime factors of 7081 and 7086.

Prime Factorization of 7081


73 7081
97 97
1

Prime factors of 7081 are 73,97. Prime factorization of 7081 in exponential form is:

7081 = 731×971

Prime Factorization of 7086


2 7086
3 3543
1181 1181
1

Prime factors of 7086 are 2, 3,1181. Prime factorization of 7086 in exponential form is:

7086 = 21×31×11811

Now multiplying the highest exponent prime factors to calculate the LCM of 7081 and 7086.

LCM(7081,7086) = 21×31×731×971×11811
LCM(7081,7086) = 50175966

Factors of 7081

List of positive integer factors of 7081 that divides 7081 without a remainder.

1, 73, 97, 7081

Factors of 7086

List of positive integer factors of 7086 that divides 7086 without a remainder.

1, 2, 3, 6, 1181, 2362, 3543, 7086

Least Common Multiple of 7081 and 7086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7081 and 7086, than apply into the LCM equation.

GCF(7081,7086) = 1
LCM(7081,7086) = ( 7081 × 7086) / 1
LCM(7081,7086) = 50175966 / 1
LCM(7081,7086) = 50175966

Properties of LCM 7081 and 7086

(i) The LCM of 7086 and 7081 is associative

LCM of 7081 and 7086 = LCM of 7086 and 7081

Related Least Common Multiples of 7081

Related Least Common Multiples of 7086

Frequently Asked Questions on LCM of 7081 and 7086

1. What is the LCM of 7081 and 7086?

Answer: LCM of 7081 and 7086 is 50175966.

2. What are the Factors of 7081?

Answer: Factors of 7081 are 1, 73, 97, 7081. There are 4 integers that are factors of 7081. The greatest factor of 7081 is 7081.

3. What are the Factors of 7086?

Answer: Factors of 7086 are 1, 2, 3, 6, 1181, 2362, 3543, 7086. There are 8 integers that are factors of 7086. The greatest factor of 7086 is 7086.

4. How to Find the LCM of 7081 and 7086?

Answer:

Least Common Multiple of 7081 and 7086 = 50175966

Step 1: Find the prime factorization of 7081

7081 = 73 x 97

Step 2: Find the prime factorization of 7086

7086 = 2 x 3 x 1181

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

LCM = 50175966 = 2 x 3 x 73 x 97 x 1181

Step 4: Therefore, the least common multiple of 7081 and 7086 is 50175966.