Least Common Multiple of 9270 and 9276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9270 and 9276 the smallest integer that is 14331420 that is divisible by both numbers.

Least Common Multiple (LCM) of 9270 and 9276 is 14331420.

LCM(9270,9276) = 14331420

LCM of 9270 and 9276

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

LCM of:
and

Least Common Multiple of 9270 and 9276

LCM of 9270 and 9276 is 14331420

Least common multiple can be found by multiplying the highest exponent prime factors of 9270 and 9276. First we will calculate the prime factors of 9270 and 9276.

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

Prime Factorization of 9276


2 9276
2 4638
3 2319
773 773
1

Prime factors of 9276 are 2, 3,773. Prime factorization of 9276 in exponential form is:

9276 = 22×31×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 9270 and 9276.

LCM(9270,9276) = 22×32×51×1031×7731
LCM(9270,9276) = 14331420

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

Factors of 9276

List of positive integer factors of 9276 that divides 9276 without a remainder.

1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276

Least Common Multiple of 9270 and 9276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9270 and 9276, than apply into the LCM equation.

GCF(9270,9276) = 6
LCM(9270,9276) = ( 9270 × 9276) / 6
LCM(9270,9276) = 85988520 / 6
LCM(9270,9276) = 14331420

Properties of LCM 9270 and 9276

(i) The LCM of 9276 and 9270 is associative

LCM of 9270 and 9276 = LCM of 9276 and 9270

Related Least Common Multiples of 9270

Related Least Common Multiples of 9276

Frequently Asked Questions on LCM of 9270 and 9276

1. What is the LCM of 9270 and 9276?

Answer: LCM of 9270 and 9276 is 14331420.

2. 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.

3. What are the Factors of 9276?

Answer: Factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276. There are 12 integers that are factors of 9276. The greatest factor of 9276 is 9276.

4. How to Find the LCM of 9270 and 9276?

Answer:

Least Common Multiple of 9270 and 9276 = 14331420

Step 1: Find the prime factorization of 9270

9270 = 2 x 3 x 3 x 5 x 103

Step 2: Find the prime factorization of 9276

9276 = 2 x 2 x 3 x 773

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

LCM = 14331420 = 2 x 2 x 3 x 3 x 5 x 103 x 773

Step 4: Therefore, the least common multiple of 9270 and 9276 is 14331420.