Least Common Multiple of 9272 and 9278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9272 and 9278 the smallest integer that is 43012808 that is divisible by both numbers.

Least Common Multiple (LCM) of 9272 and 9278 is 43012808.

LCM(9272,9278) = 43012808

LCM of 9272 and 9278

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

LCM of:
and

Least Common Multiple of 9272 and 9278

LCM of 9272 and 9278 is 43012808

Least common multiple can be found by multiplying the highest exponent prime factors of 9272 and 9278. First we will calculate the prime factors of 9272 and 9278.

Prime Factorization of 9272


2 9272
2 4636
2 2318
19 1159
61 61
1

Prime factors of 9272 are 2, 19,61. Prime factorization of 9272 in exponential form is:

9272 = 23×191×611

Prime Factorization of 9278


2 9278
4639 4639
1

Prime factors of 9278 are 2,4639. Prime factorization of 9278 in exponential form is:

9278 = 21×46391

Now multiplying the highest exponent prime factors to calculate the LCM of 9272 and 9278.

LCM(9272,9278) = 23×191×611×46391
LCM(9272,9278) = 43012808

Factors of 9272

List of positive integer factors of 9272 that divides 9272 without a remainder.

1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272

Factors of 9278

List of positive integer factors of 9278 that divides 9278 without a remainder.

1, 2, 4639, 9278

Least Common Multiple of 9272 and 9278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9272 and 9278, than apply into the LCM equation.

GCF(9272,9278) = 2
LCM(9272,9278) = ( 9272 × 9278) / 2
LCM(9272,9278) = 86025616 / 2
LCM(9272,9278) = 43012808

Properties of LCM 9272 and 9278

(i) The LCM of 9278 and 9272 is associative

LCM of 9272 and 9278 = LCM of 9278 and 9272

Related Least Common Multiples of 9272

Related Least Common Multiples of 9278

Frequently Asked Questions on LCM of 9272 and 9278

1. What is the LCM of 9272 and 9278?

Answer: LCM of 9272 and 9278 is 43012808.

2. What are the Factors of 9272?

Answer: Factors of 9272 are 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272. There are 16 integers that are factors of 9272. The greatest factor of 9272 is 9272.

3. What are the Factors of 9278?

Answer: Factors of 9278 are 1, 2, 4639, 9278. There are 4 integers that are factors of 9278. The greatest factor of 9278 is 9278.

4. How to Find the LCM of 9272 and 9278?

Answer:

Least Common Multiple of 9272 and 9278 = 43012808

Step 1: Find the prime factorization of 9272

9272 = 2 x 2 x 2 x 19 x 61

Step 2: Find the prime factorization of 9278

9278 = 2 x 4639

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

LCM = 43012808 = 2 x 2 x 2 x 19 x 61 x 4639

Step 4: Therefore, the least common multiple of 9272 and 9278 is 43012808.