Least Common Multiple of 7115 and 7120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7115 and 7120 the smallest integer that is 10131760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7115 and 7120 is 10131760.

LCM(7115,7120) = 10131760

LCM of 7115 and 7120

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

LCM of:
and

Least Common Multiple of 7115 and 7120

LCM of 7115 and 7120 is 10131760

Least common multiple can be found by multiplying the highest exponent prime factors of 7115 and 7120. First we will calculate the prime factors of 7115 and 7120.

Prime Factorization of 7115


5 7115
1423 1423
1

Prime factors of 7115 are 5,1423. Prime factorization of 7115 in exponential form is:

7115 = 51×14231

Prime Factorization of 7120


2 7120
2 3560
2 1780
2 890
5 445
89 89
1

Prime factors of 7120 are 2, 5,89. Prime factorization of 7120 in exponential form is:

7120 = 24×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 7115 and 7120.

LCM(7115,7120) = 24×51×891×14231
LCM(7115,7120) = 10131760

Factors of 7115

List of positive integer factors of 7115 that divides 7115 without a remainder.

1, 5, 1423, 7115

Factors of 7120

List of positive integer factors of 7120 that divides 7120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120

Least Common Multiple of 7115 and 7120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7115 and 7120, than apply into the LCM equation.

GCF(7115,7120) = 5
LCM(7115,7120) = ( 7115 × 7120) / 5
LCM(7115,7120) = 50658800 / 5
LCM(7115,7120) = 10131760

Properties of LCM 7115 and 7120

(i) The LCM of 7120 and 7115 is associative

LCM of 7115 and 7120 = LCM of 7120 and 7115

Related Least Common Multiples of 7115

Related Least Common Multiples of 7120

Frequently Asked Questions on LCM of 7115 and 7120

1. What is the LCM of 7115 and 7120?

Answer: LCM of 7115 and 7120 is 10131760.

2. What are the Factors of 7115?

Answer: Factors of 7115 are 1, 5, 1423, 7115. There are 4 integers that are factors of 7115. The greatest factor of 7115 is 7115.

3. What are the Factors of 7120?

Answer: Factors of 7120 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 89, 178, 356, 445, 712, 890, 1424, 1780, 3560, 7120. There are 20 integers that are factors of 7120. The greatest factor of 7120 is 7120.

4. How to Find the LCM of 7115 and 7120?

Answer:

Least Common Multiple of 7115 and 7120 = 10131760

Step 1: Find the prime factorization of 7115

7115 = 5 x 1423

Step 2: Find the prime factorization of 7120

7120 = 2 x 2 x 2 x 2 x 5 x 89

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

LCM = 10131760 = 2 x 2 x 2 x 2 x 5 x 89 x 1423

Step 4: Therefore, the least common multiple of 7115 and 7120 is 10131760.