Least Common Multiple of 9266 and 9270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9266 and 9270 the smallest integer that is 42947910 that is divisible by both numbers.

Least Common Multiple (LCM) of 9266 and 9270 is 42947910.

LCM(9266,9270) = 42947910

LCM of 9266 and 9270

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

LCM of:
and

Least Common Multiple of 9266 and 9270

LCM of 9266 and 9270 is 42947910

Least common multiple can be found by multiplying the highest exponent prime factors of 9266 and 9270. First we will calculate the prime factors of 9266 and 9270.

Prime Factorization of 9266


2 9266
41 4633
113 113
1

Prime factors of 9266 are 2, 41,113. Prime factorization of 9266 in exponential form is:

9266 = 21×411×1131

Prime Factorization of 9270


2 9270
3 4635
3 1545
5 515
103 103
1

Prime factors of 9270 are 2, 3, 5,103. Prime factorization of 9270 in exponential form is:

9270 = 21×32×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9266 and 9270.

LCM(9266,9270) = 21×32×51×411×1031×1131
LCM(9266,9270) = 42947910

Factors of 9266

List of positive integer factors of 9266 that divides 9266 without a remainder.

1, 2, 41, 82, 113, 226, 4633, 9266

Factors of 9270

List of positive integer factors of 9270 that divides 9270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270

Least Common Multiple of 9266 and 9270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9266 and 9270, than apply into the LCM equation.

GCF(9266,9270) = 2
LCM(9266,9270) = ( 9266 × 9270) / 2
LCM(9266,9270) = 85895820 / 2
LCM(9266,9270) = 42947910

Properties of LCM 9266 and 9270

(i) The LCM of 9270 and 9266 is associative

LCM of 9266 and 9270 = LCM of 9270 and 9266

Related Least Common Multiples of 9266

Related Least Common Multiples of 9270

Frequently Asked Questions on LCM of 9266 and 9270

1. What is the LCM of 9266 and 9270?

Answer: LCM of 9266 and 9270 is 42947910.

2. What are the Factors of 9266?

Answer: Factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266. There are 8 integers that are factors of 9266. The greatest factor of 9266 is 9266.

3. What are the Factors of 9270?

Answer: Factors of 9270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 103, 206, 309, 515, 618, 927, 1030, 1545, 1854, 3090, 4635, 9270. There are 24 integers that are factors of 9270. The greatest factor of 9270 is 9270.

4. How to Find the LCM of 9266 and 9270?

Answer:

Least Common Multiple of 9266 and 9270 = 42947910

Step 1: Find the prime factorization of 9266

9266 = 2 x 41 x 113

Step 2: Find the prime factorization of 9270

9270 = 2 x 3 x 3 x 5 x 103

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

LCM = 42947910 = 2 x 3 x 3 x 5 x 41 x 103 x 113

Step 4: Therefore, the least common multiple of 9266 and 9270 is 42947910.