Least Common Multiple of 7085 and 7091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7085 and 7091 the smallest integer that is 50239735 that is divisible by both numbers.

Least Common Multiple (LCM) of 7085 and 7091 is 50239735.

LCM(7085,7091) = 50239735

LCM of 7085 and 7091

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

LCM of:
and

Least Common Multiple of 7085 and 7091

LCM of 7085 and 7091 is 50239735

Least common multiple can be found by multiplying the highest exponent prime factors of 7085 and 7091. First we will calculate the prime factors of 7085 and 7091.

Prime Factorization of 7085


5 7085
13 1417
109 109
1

Prime factors of 7085 are 5, 13,109. Prime factorization of 7085 in exponential form is:

7085 = 51×131×1091

Prime Factorization of 7091


7 7091
1013 1013
1

Prime factors of 7091 are 7,1013. Prime factorization of 7091 in exponential form is:

7091 = 71×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7091.

LCM(7085,7091) = 51×71×131×1091×10131
LCM(7085,7091) = 50239735

Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1, 5, 13, 65, 109, 545, 1417, 7085

Factors of 7091

List of positive integer factors of 7091 that divides 7091 without a remainder.

1, 7, 1013, 7091

Least Common Multiple of 7085 and 7091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7091, than apply into the LCM equation.

GCF(7085,7091) = 1
LCM(7085,7091) = ( 7085 × 7091) / 1
LCM(7085,7091) = 50239735 / 1
LCM(7085,7091) = 50239735

Properties of LCM 7085 and 7091

(i) The LCM of 7091 and 7085 is associative

LCM of 7085 and 7091 = LCM of 7091 and 7085

Related Least Common Multiples of 7085

Related Least Common Multiples of 7091

Frequently Asked Questions on LCM of 7085 and 7091

1. What is the LCM of 7085 and 7091?

Answer: LCM of 7085 and 7091 is 50239735.

2. What are the Factors of 7085?

Answer: Factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085. There are 8 integers that are factors of 7085. The greatest factor of 7085 is 7085.

3. What are the Factors of 7091?

Answer: Factors of 7091 are 1, 7, 1013, 7091. There are 4 integers that are factors of 7091. The greatest factor of 7091 is 7091.

4. How to Find the LCM of 7085 and 7091?

Answer:

Least Common Multiple of 7085 and 7091 = 50239735

Step 1: Find the prime factorization of 7085

7085 = 5 x 13 x 109

Step 2: Find the prime factorization of 7091

7091 = 7 x 1013

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

LCM = 50239735 = 5 x 7 x 13 x 109 x 1013

Step 4: Therefore, the least common multiple of 7085 and 7091 is 50239735.