Least Common Multiple of 6114 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 6114 and 6120 the smallest integer that is 6236280 that is divisible by both numbers.

Least Common Multiple (LCM) of 6114 and 6120 is 6236280.

LCM(6114,6120) = 6236280

LCM of 6114 and 6120

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

LCM of:
and

Least Common Multiple of 6114 and 6120

LCM of 6114 and 6120 is 6236280

Least common multiple can be found by multiplying the highest exponent prime factors of 6114 and 6120. First we will calculate the prime factors of 6114 and 6120.

Prime Factorization of 6114


2 6114
3 3057
1019 1019
1

Prime factors of 6114 are 2, 3,1019. Prime factorization of 6114 in exponential form is:

6114 = 21×31×10191

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 6114 and 6120.

LCM(6114,6120) = 23×32×51×171×10191
LCM(6114,6120) = 6236280

Factors of 6114

List of positive integer factors of 6114 that divides 6114 without a remainder.

1, 2, 3, 6, 1019, 2038, 3057, 6114

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 6114 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 6114 and 6120, than apply into the LCM equation.

GCF(6114,6120) = 6
LCM(6114,6120) = ( 6114 × 6120) / 6
LCM(6114,6120) = 37417680 / 6
LCM(6114,6120) = 6236280

Properties of LCM 6114 and 6120

(i) The LCM of 6120 and 6114 is associative

LCM of 6114 and 6120 = LCM of 6120 and 6114

Related Least Common Multiples of 6114

Related Least Common Multiples of 6120

Frequently Asked Questions on LCM of 6114 and 6120

1. What is the LCM of 6114 and 6120?

Answer: LCM of 6114 and 6120 is 6236280.

2. What are the Factors of 6114?

Answer: Factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114. There are 8 integers that are factors of 6114. The greatest factor of 6114 is 6114.

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 6114 and 6120?

Answer:

Least Common Multiple of 6114 and 6120 = 6236280

Step 1: Find the prime factorization of 6114

6114 = 2 x 3 x 1019

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 = 6236280 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 1019

Step 4: Therefore, the least common multiple of 6114 and 6120 is 6236280.