Least Common Multiple of 9272 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 9272 and 9276 the smallest integer that is 21501768 that is divisible by both numbers.

Least Common Multiple (LCM) of 9272 and 9276 is 21501768.

LCM(9272,9276) = 21501768

LCM of 9272 and 9276

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

LCM of:
and

Least Common Multiple of 9272 and 9276

LCM of 9272 and 9276 is 21501768

Least common multiple can be found by multiplying the highest exponent prime factors of 9272 and 9276. First we will calculate the prime factors of 9272 and 9276.

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 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 9272 and 9276.

LCM(9272,9276) = 23×31×191×611×7731
LCM(9272,9276) = 21501768

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 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 9272 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 9272 and 9276, than apply into the LCM equation.

GCF(9272,9276) = 4
LCM(9272,9276) = ( 9272 × 9276) / 4
LCM(9272,9276) = 86007072 / 4
LCM(9272,9276) = 21501768

Properties of LCM 9272 and 9276

(i) The LCM of 9276 and 9272 is associative

LCM of 9272 and 9276 = LCM of 9276 and 9272

Related Least Common Multiples of 9272

Related Least Common Multiples of 9276

Frequently Asked Questions on LCM of 9272 and 9276

1. What is the LCM of 9272 and 9276?

Answer: LCM of 9272 and 9276 is 21501768.

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 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 9272 and 9276?

Answer:

Least Common Multiple of 9272 and 9276 = 21501768

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 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 = 21501768 = 2 x 2 x 2 x 3 x 19 x 61 x 773

Step 4: Therefore, the least common multiple of 9272 and 9276 is 21501768.