Least Common Multiple of 7113 and 7119

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 7119 the smallest integer that is 16879149 that is divisible by both numbers.

Least Common Multiple (LCM) of 7113 and 7119 is 16879149.

LCM(7113,7119) = 16879149

LCM of 7113 and 7119

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

LCM of:
and

Least Common Multiple of 7113 and 7119

LCM of 7113 and 7119 is 16879149

Least common multiple can be found by multiplying the highest exponent prime factors of 7113 and 7119. First we will calculate the prime factors of 7113 and 7119.

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 7119


3 7119
3 2373
7 791
113 113
1

Prime factors of 7119 are 3, 7,113. Prime factorization of 7119 in exponential form is:

7119 = 32×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7113 and 7119.

LCM(7113,7119) = 32×71×1131×23711
LCM(7113,7119) = 16879149

Factors of 7113

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

1, 3, 2371, 7113

Factors of 7119

List of positive integer factors of 7119 that divides 7119 without a remainder.

1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119

Least Common Multiple of 7113 and 7119 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 7119, than apply into the LCM equation.

GCF(7113,7119) = 3
LCM(7113,7119) = ( 7113 × 7119) / 3
LCM(7113,7119) = 50637447 / 3
LCM(7113,7119) = 16879149

Properties of LCM 7113 and 7119

(i) The LCM of 7119 and 7113 is associative

LCM of 7113 and 7119 = LCM of 7119 and 7113

Related Least Common Multiples of 7113

Related Least Common Multiples of 7119

Frequently Asked Questions on LCM of 7113 and 7119

1. What is the LCM of 7113 and 7119?

Answer: LCM of 7113 and 7119 is 16879149.

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 7119?

Answer: Factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119. There are 12 integers that are factors of 7119. The greatest factor of 7119 is 7119.

4. How to Find the LCM of 7113 and 7119?

Answer:

Least Common Multiple of 7113 and 7119 = 16879149

Step 1: Find the prime factorization of 7113

7113 = 3 x 2371

Step 2: Find the prime factorization of 7119

7119 = 3 x 3 x 7 x 113

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

LCM = 16879149 = 3 x 3 x 7 x 113 x 2371

Step 4: Therefore, the least common multiple of 7113 and 7119 is 16879149.