Least Common Multiple of 9245 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 9245 and 9252 the smallest integer that is 85534740 that is divisible by both numbers.

Least Common Multiple (LCM) of 9245 and 9252 is 85534740.

LCM(9245,9252) = 85534740

LCM of 9245 and 9252

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

LCM of:
and

Least Common Multiple of 9245 and 9252

LCM of 9245 and 9252 is 85534740

Least common multiple can be found by multiplying the highest exponent prime factors of 9245 and 9252. First we will calculate the prime factors of 9245 and 9252.

Prime Factorization of 9245


5 9245
43 1849
43 43
1

Prime factors of 9245 are 5,43. Prime factorization of 9245 in exponential form is:

9245 = 51×432

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 9245 and 9252.

LCM(9245,9252) = 22×32×51×432×2571
LCM(9245,9252) = 85534740

Factors of 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1, 5, 43, 215, 1849, 9245

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 9245 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 9245 and 9252, than apply into the LCM equation.

GCF(9245,9252) = 1
LCM(9245,9252) = ( 9245 × 9252) / 1
LCM(9245,9252) = 85534740 / 1
LCM(9245,9252) = 85534740

Properties of LCM 9245 and 9252

(i) The LCM of 9252 and 9245 is associative

LCM of 9245 and 9252 = LCM of 9252 and 9245

Related Least Common Multiples of 9245

Related Least Common Multiples of 9252

Frequently Asked Questions on LCM of 9245 and 9252

1. What is the LCM of 9245 and 9252?

Answer: LCM of 9245 and 9252 is 85534740.

2. What are the Factors of 9245?

Answer: Factors of 9245 are 1, 5, 43, 215, 1849, 9245. There are 6 integers that are factors of 9245. The greatest factor of 9245 is 9245.

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 9245 and 9252?

Answer:

Least Common Multiple of 9245 and 9252 = 85534740

Step 1: Find the prime factorization of 9245

9245 = 5 x 43 x 43

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 = 85534740 = 2 x 2 x 3 x 3 x 5 x 43 x 43 x 257

Step 4: Therefore, the least common multiple of 9245 and 9252 is 85534740.