Least Common Multiple of 7117 and 7121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7117 and 7121 the smallest integer that is 50680157 that is divisible by both numbers.

Least Common Multiple (LCM) of 7117 and 7121 is 50680157.

LCM(7117,7121) = 50680157

LCM of 7117 and 7121

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

LCM of:
and

Least Common Multiple of 7117 and 7121

LCM of 7117 and 7121 is 50680157

Least common multiple can be found by multiplying the highest exponent prime factors of 7117 and 7121. First we will calculate the prime factors of 7117 and 7121.

Prime Factorization of 7117


11 7117
647 647
1

Prime factors of 7117 are 11,647. Prime factorization of 7117 in exponential form is:

7117 = 111×6471

Prime Factorization of 7121


7121 7121
1

Prime factors of 7121 are 7121. Prime factorization of 7121 in exponential form is:

7121 = 71211

Now multiplying the highest exponent prime factors to calculate the LCM of 7117 and 7121.

LCM(7117,7121) = 111×6471×71211
LCM(7117,7121) = 50680157

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1, 11, 647, 7117

Factors of 7121

List of positive integer factors of 7121 that divides 7121 without a remainder.

1, 7121

Least Common Multiple of 7117 and 7121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7117 and 7121, than apply into the LCM equation.

GCF(7117,7121) = 1
LCM(7117,7121) = ( 7117 × 7121) / 1
LCM(7117,7121) = 50680157 / 1
LCM(7117,7121) = 50680157

Properties of LCM 7117 and 7121

(i) The LCM of 7121 and 7117 is associative

LCM of 7117 and 7121 = LCM of 7121 and 7117

Related Least Common Multiples of 7117

Related Least Common Multiples of 7121

Frequently Asked Questions on LCM of 7117 and 7121

1. What is the LCM of 7117 and 7121?

Answer: LCM of 7117 and 7121 is 50680157.

2. What are the Factors of 7117?

Answer: Factors of 7117 are 1, 11, 647, 7117. There are 4 integers that are factors of 7117. The greatest factor of 7117 is 7117.

3. What are the Factors of 7121?

Answer: Factors of 7121 are 1, 7121. There are 2 integers that are factors of 7121. The greatest factor of 7121 is 7121.

4. How to Find the LCM of 7117 and 7121?

Answer:

Least Common Multiple of 7117 and 7121 = 50680157

Step 1: Find the prime factorization of 7117

7117 = 11 x 647

Step 2: Find the prime factorization of 7121

7121 = 7121

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

LCM = 50680157 = 11 x 647 x 7121

Step 4: Therefore, the least common multiple of 7117 and 7121 is 50680157.