Least Common Multiple of 8104 and 8112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8104 and 8112 the smallest integer that is 8217456 that is divisible by both numbers.

Least Common Multiple (LCM) of 8104 and 8112 is 8217456.

LCM(8104,8112) = 8217456

LCM of 8104 and 8112

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

LCM of:
and

Least Common Multiple of 8104 and 8112

LCM of 8104 and 8112 is 8217456

Least common multiple can be found by multiplying the highest exponent prime factors of 8104 and 8112. First we will calculate the prime factors of 8104 and 8112.

Prime Factorization of 8104


2 8104
2 4052
2 2026
1013 1013
1

Prime factors of 8104 are 2,1013. Prime factorization of 8104 in exponential form is:

8104 = 23×10131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8104 and 8112.

LCM(8104,8112) = 24×31×132×10131
LCM(8104,8112) = 8217456

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1, 2, 4, 8, 1013, 2026, 4052, 8104

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

Least Common Multiple of 8104 and 8112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8104 and 8112, than apply into the LCM equation.

GCF(8104,8112) = 8
LCM(8104,8112) = ( 8104 × 8112) / 8
LCM(8104,8112) = 65739648 / 8
LCM(8104,8112) = 8217456

Properties of LCM 8104 and 8112

(i) The LCM of 8112 and 8104 is associative

LCM of 8104 and 8112 = LCM of 8112 and 8104

Related Least Common Multiples of 8104

Related Least Common Multiples of 8112

Frequently Asked Questions on LCM of 8104 and 8112

1. What is the LCM of 8104 and 8112?

Answer: LCM of 8104 and 8112 is 8217456.

2. What are the Factors of 8104?

Answer: Factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104. There are 8 integers that are factors of 8104. The greatest factor of 8104 is 8104.

3. 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.

4. How to Find the LCM of 8104 and 8112?

Answer:

Least Common Multiple of 8104 and 8112 = 8217456

Step 1: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

Step 2: Find the prime factorization of 8112

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

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

LCM = 8217456 = 2 x 2 x 2 x 2 x 3 x 13 x 13 x 1013

Step 4: Therefore, the least common multiple of 8104 and 8112 is 8217456.