Least Common Multiple of 6115 and 6120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6115 and 6120 the smallest integer that is 7484760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6115 and 6120 is 7484760.

LCM(6115,6120) = 7484760

LCM of 6115 and 6120

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

LCM of:
and

Least Common Multiple of 6115 and 6120

LCM of 6115 and 6120 is 7484760

Least common multiple can be found by multiplying the highest exponent prime factors of 6115 and 6120. First we will calculate the prime factors of 6115 and 6120.

Prime Factorization of 6115


5 6115
1223 1223
1

Prime factors of 6115 are 5,1223. Prime factorization of 6115 in exponential form is:

6115 = 51×12231

Prime Factorization of 6120


2 6120
2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 6120 are 2, 3, 5,17. Prime factorization of 6120 in exponential form is:

6120 = 23×32×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6115 and 6120.

LCM(6115,6120) = 23×32×51×171×12231
LCM(6115,6120) = 7484760

Factors of 6115

List of positive integer factors of 6115 that divides 6115 without a remainder.

1, 5, 1223, 6115

Factors of 6120

List of positive integer factors of 6120 that divides 6120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120

Least Common Multiple of 6115 and 6120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6115 and 6120, than apply into the LCM equation.

GCF(6115,6120) = 5
LCM(6115,6120) = ( 6115 × 6120) / 5
LCM(6115,6120) = 37423800 / 5
LCM(6115,6120) = 7484760

Properties of LCM 6115 and 6120

(i) The LCM of 6120 and 6115 is associative

LCM of 6115 and 6120 = LCM of 6120 and 6115

Related Least Common Multiples of 6115

Related Least Common Multiples of 6120

Frequently Asked Questions on LCM of 6115 and 6120

1. What is the LCM of 6115 and 6120?

Answer: LCM of 6115 and 6120 is 7484760.

2. What are the Factors of 6115?

Answer: Factors of 6115 are 1, 5, 1223, 6115. There are 4 integers that are factors of 6115. The greatest factor of 6115 is 6115.

3. What are the Factors of 6120?

Answer: Factors of 6120 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120. There are 48 integers that are factors of 6120. The greatest factor of 6120 is 6120.

4. How to Find the LCM of 6115 and 6120?

Answer:

Least Common Multiple of 6115 and 6120 = 7484760

Step 1: Find the prime factorization of 6115

6115 = 5 x 1223

Step 2: Find the prime factorization of 6120

6120 = 2 x 2 x 2 x 3 x 3 x 5 x 17

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

LCM = 7484760 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 1223

Step 4: Therefore, the least common multiple of 6115 and 6120 is 7484760.