Least Common Multiple of 7117 and 7122

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 7122 the smallest integer that is 50687274 that is divisible by both numbers.

Least Common Multiple (LCM) of 7117 and 7122 is 50687274.

LCM(7117,7122) = 50687274

LCM of 7117 and 7122

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

LCM of:
and

Least Common Multiple of 7117 and 7122

LCM of 7117 and 7122 is 50687274

Least common multiple can be found by multiplying the highest exponent prime factors of 7117 and 7122. First we will calculate the prime factors of 7117 and 7122.

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 7122


2 7122
3 3561
1187 1187
1

Prime factors of 7122 are 2, 3,1187. Prime factorization of 7122 in exponential form is:

7122 = 21×31×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 7117 and 7122.

LCM(7117,7122) = 21×31×111×6471×11871
LCM(7117,7122) = 50687274

Factors of 7117

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

1, 11, 647, 7117

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1, 2, 3, 6, 1187, 2374, 3561, 7122

Least Common Multiple of 7117 and 7122 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 7122, than apply into the LCM equation.

GCF(7117,7122) = 1
LCM(7117,7122) = ( 7117 × 7122) / 1
LCM(7117,7122) = 50687274 / 1
LCM(7117,7122) = 50687274

Properties of LCM 7117 and 7122

(i) The LCM of 7122 and 7117 is associative

LCM of 7117 and 7122 = LCM of 7122 and 7117

Related Least Common Multiples of 7117

Related Least Common Multiples of 7122

Frequently Asked Questions on LCM of 7117 and 7122

1. What is the LCM of 7117 and 7122?

Answer: LCM of 7117 and 7122 is 50687274.

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 7122?

Answer: Factors of 7122 are 1, 2, 3, 6, 1187, 2374, 3561, 7122. There are 8 integers that are factors of 7122. The greatest factor of 7122 is 7122.

4. How to Find the LCM of 7117 and 7122?

Answer:

Least Common Multiple of 7117 and 7122 = 50687274

Step 1: Find the prime factorization of 7117

7117 = 11 x 647

Step 2: Find the prime factorization of 7122

7122 = 2 x 3 x 1187

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

LCM = 50687274 = 2 x 3 x 11 x 647 x 1187

Step 4: Therefore, the least common multiple of 7117 and 7122 is 50687274.