Least Common Multiple of 8112 and 8117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8112 and 8117 the smallest integer that is 65845104 that is divisible by both numbers.

Least Common Multiple (LCM) of 8112 and 8117 is 65845104.

LCM(8112,8117) = 65845104

LCM of 8112 and 8117

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

LCM of:
and

Least Common Multiple of 8112 and 8117

LCM of 8112 and 8117 is 65845104

Least common multiple can be found by multiplying the highest exponent prime factors of 8112 and 8117. First we will calculate the prime factors of 8112 and 8117.

Prime Factorization of 8112


2 8112
2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 8112 are 2, 3,13. Prime factorization of 8112 in exponential form is:

8112 = 24×31×132

Prime Factorization of 8117


8117 8117
1

Prime factors of 8117 are 8117. Prime factorization of 8117 in exponential form is:

8117 = 81171

Now multiplying the highest exponent prime factors to calculate the LCM of 8112 and 8117.

LCM(8112,8117) = 24×31×132×81171
LCM(8112,8117) = 65845104

Factors of 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112

Factors of 8117

List of positive integer factors of 8117 that divides 8117 without a remainder.

1, 8117

Least Common Multiple of 8112 and 8117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8112 and 8117, than apply into the LCM equation.

GCF(8112,8117) = 1
LCM(8112,8117) = ( 8112 × 8117) / 1
LCM(8112,8117) = 65845104 / 1
LCM(8112,8117) = 65845104

Properties of LCM 8112 and 8117

(i) The LCM of 8117 and 8112 is associative

LCM of 8112 and 8117 = LCM of 8117 and 8112

Related Least Common Multiples of 8112

Related Least Common Multiples of 8117

Frequently Asked Questions on LCM of 8112 and 8117

1. What is the LCM of 8112 and 8117?

Answer: LCM of 8112 and 8117 is 65845104.

2. What are the Factors of 8112?

Answer: Factors of 8112 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112. There are 30 integers that are factors of 8112. The greatest factor of 8112 is 8112.

3. What are the Factors of 8117?

Answer: Factors of 8117 are 1, 8117. There are 2 integers that are factors of 8117. The greatest factor of 8117 is 8117.

4. How to Find the LCM of 8112 and 8117?

Answer:

Least Common Multiple of 8112 and 8117 = 65845104

Step 1: Find the prime factorization of 8112

8112 = 2 x 2 x 2 x 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 8117

8117 = 8117

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

LCM = 65845104 = 2 x 2 x 2 x 2 x 3 x 13 x 13 x 8117

Step 4: Therefore, the least common multiple of 8112 and 8117 is 65845104.