Least Common Multiple of 6116 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 6116 and 6120 the smallest integer that is 9357480 that is divisible by both numbers.

Least Common Multiple (LCM) of 6116 and 6120 is 9357480.

LCM(6116,6120) = 9357480

LCM of 6116 and 6120

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

LCM of:
and

Least Common Multiple of 6116 and 6120

LCM of 6116 and 6120 is 9357480

Least common multiple can be found by multiplying the highest exponent prime factors of 6116 and 6120. First we will calculate the prime factors of 6116 and 6120.

Prime Factorization of 6116


2 6116
2 3058
11 1529
139 139
1

Prime factors of 6116 are 2, 11,139. Prime factorization of 6116 in exponential form is:

6116 = 22×111×1391

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 6116 and 6120.

LCM(6116,6120) = 23×32×51×111×171×1391
LCM(6116,6120) = 9357480

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116

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 6116 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 6116 and 6120, than apply into the LCM equation.

GCF(6116,6120) = 4
LCM(6116,6120) = ( 6116 × 6120) / 4
LCM(6116,6120) = 37429920 / 4
LCM(6116,6120) = 9357480

Properties of LCM 6116 and 6120

(i) The LCM of 6120 and 6116 is associative

LCM of 6116 and 6120 = LCM of 6120 and 6116

Related Least Common Multiples of 6116

Related Least Common Multiples of 6120

Frequently Asked Questions on LCM of 6116 and 6120

1. What is the LCM of 6116 and 6120?

Answer: LCM of 6116 and 6120 is 9357480.

2. What are the Factors of 6116?

Answer: Factors of 6116 are 1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116. There are 12 integers that are factors of 6116. The greatest factor of 6116 is 6116.

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 6116 and 6120?

Answer:

Least Common Multiple of 6116 and 6120 = 9357480

Step 1: Find the prime factorization of 6116

6116 = 2 x 2 x 11 x 139

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 = 9357480 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 139

Step 4: Therefore, the least common multiple of 6116 and 6120 is 9357480.