Least Common Multiple of 7086 and 7093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7086 and 7093 the smallest integer that is 50260998 that is divisible by both numbers.

Least Common Multiple (LCM) of 7086 and 7093 is 50260998.

LCM(7086,7093) = 50260998

LCM of 7086 and 7093

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

LCM of:
and

Least Common Multiple of 7086 and 7093

LCM of 7086 and 7093 is 50260998

Least common multiple can be found by multiplying the highest exponent prime factors of 7086 and 7093. First we will calculate the prime factors of 7086 and 7093.

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

Prime Factorization of 7093


41 7093
173 173
1

Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:

7093 = 411×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 7086 and 7093.

LCM(7086,7093) = 21×31×411×1731×11811
LCM(7086,7093) = 50260998

Factors of 7086

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

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

Factors of 7093

List of positive integer factors of 7093 that divides 7093 without a remainder.

1, 41, 173, 7093

Least Common Multiple of 7086 and 7093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7086 and 7093, than apply into the LCM equation.

GCF(7086,7093) = 1
LCM(7086,7093) = ( 7086 × 7093) / 1
LCM(7086,7093) = 50260998 / 1
LCM(7086,7093) = 50260998

Properties of LCM 7086 and 7093

(i) The LCM of 7093 and 7086 is associative

LCM of 7086 and 7093 = LCM of 7093 and 7086

Related Least Common Multiples of 7086

Related Least Common Multiples of 7093

Frequently Asked Questions on LCM of 7086 and 7093

1. What is the LCM of 7086 and 7093?

Answer: LCM of 7086 and 7093 is 50260998.

2. 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.

3. What are the Factors of 7093?

Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.

4. How to Find the LCM of 7086 and 7093?

Answer:

Least Common Multiple of 7086 and 7093 = 50260998

Step 1: Find the prime factorization of 7086

7086 = 2 x 3 x 1181

Step 2: Find the prime factorization of 7093

7093 = 41 x 173

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

LCM = 50260998 = 2 x 3 x 41 x 173 x 1181

Step 4: Therefore, the least common multiple of 7086 and 7093 is 50260998.