Least Common Multiple of 6112 and 6117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6112 and 6117 the smallest integer that is 37387104 that is divisible by both numbers.

Least Common Multiple (LCM) of 6112 and 6117 is 37387104.

LCM(6112,6117) = 37387104

LCM of 6112 and 6117

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

LCM of:
and

Least Common Multiple of 6112 and 6117

LCM of 6112 and 6117 is 37387104

Least common multiple can be found by multiplying the highest exponent prime factors of 6112 and 6117. First we will calculate the prime factors of 6112 and 6117.

Prime Factorization of 6112


2 6112
2 3056
2 1528
2 764
2 382
191 191
1

Prime factors of 6112 are 2,191. Prime factorization of 6112 in exponential form is:

6112 = 25×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6112 and 6117.

LCM(6112,6117) = 25×31×1911×20391
LCM(6112,6117) = 37387104

Factors of 6112

List of positive integer factors of 6112 that divides 6112 without a remainder.

1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056, 6112

Factors of 6117

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

1, 3, 2039, 6117

Least Common Multiple of 6112 and 6117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6112 and 6117, than apply into the LCM equation.

GCF(6112,6117) = 1
LCM(6112,6117) = ( 6112 × 6117) / 1
LCM(6112,6117) = 37387104 / 1
LCM(6112,6117) = 37387104

Properties of LCM 6112 and 6117

(i) The LCM of 6117 and 6112 is associative

LCM of 6112 and 6117 = LCM of 6117 and 6112

Related Least Common Multiples of 6112

Related Least Common Multiples of 6117

Frequently Asked Questions on LCM of 6112 and 6117

1. What is the LCM of 6112 and 6117?

Answer: LCM of 6112 and 6117 is 37387104.

2. What are the Factors of 6112?

Answer: Factors of 6112 are 1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056, 6112. There are 12 integers that are factors of 6112. The greatest factor of 6112 is 6112.

3. 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.

4. How to Find the LCM of 6112 and 6117?

Answer:

Least Common Multiple of 6112 and 6117 = 37387104

Step 1: Find the prime factorization of 6112

6112 = 2 x 2 x 2 x 2 x 2 x 191

Step 2: Find the prime factorization of 6117

6117 = 3 x 2039

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

LCM = 37387104 = 2 x 2 x 2 x 2 x 2 x 3 x 191 x 2039

Step 4: Therefore, the least common multiple of 6112 and 6117 is 37387104.