Least Common Multiple of 6113 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 6113 and 6120 the smallest integer that is 37411560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6113 and 6120 is 37411560.

LCM(6113,6120) = 37411560

LCM of 6113 and 6120

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

LCM of:
and

Least Common Multiple of 6113 and 6120

LCM of 6113 and 6120 is 37411560

Least common multiple can be found by multiplying the highest exponent prime factors of 6113 and 6120. First we will calculate the prime factors of 6113 and 6120.

Prime Factorization of 6113


6113 6113
1

Prime factors of 6113 are 6113. Prime factorization of 6113 in exponential form is:

6113 = 61131

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 6113 and 6120.

LCM(6113,6120) = 23×32×51×171×61131
LCM(6113,6120) = 37411560

Factors of 6113

List of positive integer factors of 6113 that divides 6113 without a remainder.

1, 6113

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 6113 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 6113 and 6120, than apply into the LCM equation.

GCF(6113,6120) = 1
LCM(6113,6120) = ( 6113 × 6120) / 1
LCM(6113,6120) = 37411560 / 1
LCM(6113,6120) = 37411560

Properties of LCM 6113 and 6120

(i) The LCM of 6120 and 6113 is associative

LCM of 6113 and 6120 = LCM of 6120 and 6113

Related Least Common Multiples of 6113

Related Least Common Multiples of 6120

Frequently Asked Questions on LCM of 6113 and 6120

1. What is the LCM of 6113 and 6120?

Answer: LCM of 6113 and 6120 is 37411560.

2. What are the Factors of 6113?

Answer: Factors of 6113 are 1, 6113. There are 2 integers that are factors of 6113. The greatest factor of 6113 is 6113.

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 6113 and 6120?

Answer:

Least Common Multiple of 6113 and 6120 = 37411560

Step 1: Find the prime factorization of 6113

6113 = 6113

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 = 37411560 = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 6113

Step 4: Therefore, the least common multiple of 6113 and 6120 is 37411560.