Least Common Multiple of 6105 and 6112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6105 and 6112 the smallest integer that is 37313760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6105 and 6112 is 37313760.

LCM(6105,6112) = 37313760

LCM of 6105 and 6112

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

LCM of:
and

Least Common Multiple of 6105 and 6112

LCM of 6105 and 6112 is 37313760

Least common multiple can be found by multiplying the highest exponent prime factors of 6105 and 6112. First we will calculate the prime factors of 6105 and 6112.

Prime Factorization of 6105


3 6105
5 2035
11 407
37 37
1

Prime factors of 6105 are 3, 5, 11,37. Prime factorization of 6105 in exponential form is:

6105 = 31×51×111×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6105 and 6112.

LCM(6105,6112) = 25×31×51×111×371×1911
LCM(6105,6112) = 37313760

Factors of 6105

List of positive integer factors of 6105 that divides 6105 without a remainder.

1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105

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

Least Common Multiple of 6105 and 6112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6105 and 6112, than apply into the LCM equation.

GCF(6105,6112) = 1
LCM(6105,6112) = ( 6105 × 6112) / 1
LCM(6105,6112) = 37313760 / 1
LCM(6105,6112) = 37313760

Properties of LCM 6105 and 6112

(i) The LCM of 6112 and 6105 is associative

LCM of 6105 and 6112 = LCM of 6112 and 6105

Related Least Common Multiples of 6105

Related Least Common Multiples of 6112

Frequently Asked Questions on LCM of 6105 and 6112

1. What is the LCM of 6105 and 6112?

Answer: LCM of 6105 and 6112 is 37313760.

2. What are the Factors of 6105?

Answer: Factors of 6105 are 1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105. There are 16 integers that are factors of 6105. The greatest factor of 6105 is 6105.

3. 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.

4. How to Find the LCM of 6105 and 6112?

Answer:

Least Common Multiple of 6105 and 6112 = 37313760

Step 1: Find the prime factorization of 6105

6105 = 3 x 5 x 11 x 37

Step 2: Find the prime factorization of 6112

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

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

LCM = 37313760 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 37 x 191

Step 4: Therefore, the least common multiple of 6105 and 6112 is 37313760.