Least Common Multiple of 9247 and 9252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9247 and 9252 the smallest integer that is 85553244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9247 and 9252 is 85553244.

LCM(9247,9252) = 85553244

LCM of 9247 and 9252

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

LCM of:
and

Least Common Multiple of 9247 and 9252

LCM of 9247 and 9252 is 85553244

Least common multiple can be found by multiplying the highest exponent prime factors of 9247 and 9252. First we will calculate the prime factors of 9247 and 9252.

Prime Factorization of 9247


7 9247
1321 1321
1

Prime factors of 9247 are 7,1321. Prime factorization of 9247 in exponential form is:

9247 = 71×13211

Prime Factorization of 9252


2 9252
2 4626
3 2313
3 771
257 257
1

Prime factors of 9252 are 2, 3,257. Prime factorization of 9252 in exponential form is:

9252 = 22×32×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 9247 and 9252.

LCM(9247,9252) = 22×32×71×2571×13211
LCM(9247,9252) = 85553244

Factors of 9247

List of positive integer factors of 9247 that divides 9247 without a remainder.

1, 7, 1321, 9247

Factors of 9252

List of positive integer factors of 9252 that divides 9252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252

Least Common Multiple of 9247 and 9252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9247 and 9252, than apply into the LCM equation.

GCF(9247,9252) = 1
LCM(9247,9252) = ( 9247 × 9252) / 1
LCM(9247,9252) = 85553244 / 1
LCM(9247,9252) = 85553244

Properties of LCM 9247 and 9252

(i) The LCM of 9252 and 9247 is associative

LCM of 9247 and 9252 = LCM of 9252 and 9247

Related Least Common Multiples of 9247

Related Least Common Multiples of 9252

Frequently Asked Questions on LCM of 9247 and 9252

1. What is the LCM of 9247 and 9252?

Answer: LCM of 9247 and 9252 is 85553244.

2. What are the Factors of 9247?

Answer: Factors of 9247 are 1, 7, 1321, 9247. There are 4 integers that are factors of 9247. The greatest factor of 9247 is 9247.

3. What are the Factors of 9252?

Answer: Factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252. There are 18 integers that are factors of 9252. The greatest factor of 9252 is 9252.

4. How to Find the LCM of 9247 and 9252?

Answer:

Least Common Multiple of 9247 and 9252 = 85553244

Step 1: Find the prime factorization of 9247

9247 = 7 x 1321

Step 2: Find the prime factorization of 9252

9252 = 2 x 2 x 3 x 3 x 257

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

LCM = 85553244 = 2 x 2 x 3 x 3 x 7 x 257 x 1321

Step 4: Therefore, the least common multiple of 9247 and 9252 is 85553244.