Least Common Multiple of 7113 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 7113 and 7121 the smallest integer that is 50651673 that is divisible by both numbers.

Least Common Multiple (LCM) of 7113 and 7121 is 50651673.

LCM(7113,7121) = 50651673

LCM of 7113 and 7121

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

LCM of:
and

Least Common Multiple of 7113 and 7121

LCM of 7113 and 7121 is 50651673

Least common multiple can be found by multiplying the highest exponent prime factors of 7113 and 7121. First we will calculate the prime factors of 7113 and 7121.

Prime Factorization of 7113


3 7113
2371 2371
1

Prime factors of 7113 are 3,2371. Prime factorization of 7113 in exponential form is:

7113 = 31×23711

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 7113 and 7121.

LCM(7113,7121) = 31×23711×71211
LCM(7113,7121) = 50651673

Factors of 7113

List of positive integer factors of 7113 that divides 7113 without a remainder.

1, 3, 2371, 7113

Factors of 7121

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

1, 7121

Least Common Multiple of 7113 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 7113 and 7121, than apply into the LCM equation.

GCF(7113,7121) = 1
LCM(7113,7121) = ( 7113 × 7121) / 1
LCM(7113,7121) = 50651673 / 1
LCM(7113,7121) = 50651673

Properties of LCM 7113 and 7121

(i) The LCM of 7121 and 7113 is associative

LCM of 7113 and 7121 = LCM of 7121 and 7113

Related Least Common Multiples of 7113

Related Least Common Multiples of 7121

Frequently Asked Questions on LCM of 7113 and 7121

1. What is the LCM of 7113 and 7121?

Answer: LCM of 7113 and 7121 is 50651673.

2. What are the Factors of 7113?

Answer: Factors of 7113 are 1, 3, 2371, 7113. There are 4 integers that are factors of 7113. The greatest factor of 7113 is 7113.

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 7113 and 7121?

Answer:

Least Common Multiple of 7113 and 7121 = 50651673

Step 1: Find the prime factorization of 7113

7113 = 3 x 2371

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 = 50651673 = 3 x 2371 x 7121

Step 4: Therefore, the least common multiple of 7113 and 7121 is 50651673.