Least Common Multiple of 6117 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 6117 and 6120 the smallest integer that is 12478680 that is divisible by both numbers.

Least Common Multiple (LCM) of 6117 and 6120 is 12478680.

LCM(6117,6120) = 12478680

LCM of 6117 and 6120

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

LCM of:
and

Least Common Multiple of 6117 and 6120

LCM of 6117 and 6120 is 12478680

Least common multiple can be found by multiplying the highest exponent prime factors of 6117 and 6120. First we will calculate the prime factors of 6117 and 6120.

Prime Factorization of 6117


3 6117
2039 2039
1

Prime factors of 6117 are 3,2039. Prime factorization of 6117 in exponential form is:

6117 = 31×20391

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 6117 and 6120.

LCM(6117,6120) = 23×32×51×171×20391
LCM(6117,6120) = 12478680

Factors of 6117

List of positive integer factors of 6117 that divides 6117 without a remainder.

1, 3, 2039, 6117

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 6117 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 6117 and 6120, than apply into the LCM equation.

GCF(6117,6120) = 3
LCM(6117,6120) = ( 6117 × 6120) / 3
LCM(6117,6120) = 37436040 / 3
LCM(6117,6120) = 12478680

Properties of LCM 6117 and 6120

(i) The LCM of 6120 and 6117 is associative

LCM of 6117 and 6120 = LCM of 6120 and 6117

Related Least Common Multiples of 6117

Related Least Common Multiples of 6120

Frequently Asked Questions on LCM of 6117 and 6120

1. What is the LCM of 6117 and 6120?

Answer: LCM of 6117 and 6120 is 12478680.

2. What are the Factors of 6117?

Answer: Factors of 6117 are 1, 3, 2039, 6117. There are 4 integers that are factors of 6117. The greatest factor of 6117 is 6117.

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 6117 and 6120?

Answer:

Least Common Multiple of 6117 and 6120 = 12478680

Step 1: Find the prime factorization of 6117

6117 = 3 x 2039

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 = 12478680 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 2039

Step 4: Therefore, the least common multiple of 6117 and 6120 is 12478680.