Least Common Multiple of 9102 and 9106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9102 and 9106 the smallest integer that is 41441406 that is divisible by both numbers.

Least Common Multiple (LCM) of 9102 and 9106 is 41441406.

LCM(9102,9106) = 41441406

LCM of 9102 and 9106

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

LCM of:
and

Least Common Multiple of 9102 and 9106

LCM of 9102 and 9106 is 41441406

Least common multiple can be found by multiplying the highest exponent prime factors of 9102 and 9106. First we will calculate the prime factors of 9102 and 9106.

Prime Factorization of 9102


2 9102
3 4551
37 1517
41 41
1

Prime factors of 9102 are 2, 3, 37,41. Prime factorization of 9102 in exponential form is:

9102 = 21×31×371×411

Prime Factorization of 9106


2 9106
29 4553
157 157
1

Prime factors of 9106 are 2, 29,157. Prime factorization of 9106 in exponential form is:

9106 = 21×291×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9102 and 9106.

LCM(9102,9106) = 21×31×291×371×411×1571
LCM(9102,9106) = 41441406

Factors of 9102

List of positive integer factors of 9102 that divides 9102 without a remainder.

1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102

Factors of 9106

List of positive integer factors of 9106 that divides 9106 without a remainder.

1, 2, 29, 58, 157, 314, 4553, 9106

Least Common Multiple of 9102 and 9106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9102 and 9106, than apply into the LCM equation.

GCF(9102,9106) = 2
LCM(9102,9106) = ( 9102 × 9106) / 2
LCM(9102,9106) = 82882812 / 2
LCM(9102,9106) = 41441406

Properties of LCM 9102 and 9106

(i) The LCM of 9106 and 9102 is associative

LCM of 9102 and 9106 = LCM of 9106 and 9102

Related Least Common Multiples of 9102

Related Least Common Multiples of 9106

Frequently Asked Questions on LCM of 9102 and 9106

1. What is the LCM of 9102 and 9106?

Answer: LCM of 9102 and 9106 is 41441406.

2. What are the Factors of 9102?

Answer: Factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102. There are 16 integers that are factors of 9102. The greatest factor of 9102 is 9102.

3. What are the Factors of 9106?

Answer: Factors of 9106 are 1, 2, 29, 58, 157, 314, 4553, 9106. There are 8 integers that are factors of 9106. The greatest factor of 9106 is 9106.

4. How to Find the LCM of 9102 and 9106?

Answer:

Least Common Multiple of 9102 and 9106 = 41441406

Step 1: Find the prime factorization of 9102

9102 = 2 x 3 x 37 x 41

Step 2: Find the prime factorization of 9106

9106 = 2 x 29 x 157

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

LCM = 41441406 = 2 x 3 x 29 x 37 x 41 x 157

Step 4: Therefore, the least common multiple of 9102 and 9106 is 41441406.