Least Common Multiple of 9252 and 9257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9252 and 9257 the smallest integer that is 85645764 that is divisible by both numbers.

Least Common Multiple (LCM) of 9252 and 9257 is 85645764.

LCM(9252,9257) = 85645764

LCM of 9252 and 9257

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

LCM of:
and

Least Common Multiple of 9252 and 9257

LCM of 9252 and 9257 is 85645764

Least common multiple can be found by multiplying the highest exponent prime factors of 9252 and 9257. First we will calculate the prime factors of 9252 and 9257.

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

Prime Factorization of 9257


9257 9257
1

Prime factors of 9257 are 9257. Prime factorization of 9257 in exponential form is:

9257 = 92571

Now multiplying the highest exponent prime factors to calculate the LCM of 9252 and 9257.

LCM(9252,9257) = 22×32×2571×92571
LCM(9252,9257) = 85645764

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

Factors of 9257

List of positive integer factors of 9257 that divides 9257 without a remainder.

1, 9257

Least Common Multiple of 9252 and 9257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9252 and 9257, than apply into the LCM equation.

GCF(9252,9257) = 1
LCM(9252,9257) = ( 9252 × 9257) / 1
LCM(9252,9257) = 85645764 / 1
LCM(9252,9257) = 85645764

Properties of LCM 9252 and 9257

(i) The LCM of 9257 and 9252 is associative

LCM of 9252 and 9257 = LCM of 9257 and 9252

Related Least Common Multiples of 9252

Related Least Common Multiples of 9257

Frequently Asked Questions on LCM of 9252 and 9257

1. What is the LCM of 9252 and 9257?

Answer: LCM of 9252 and 9257 is 85645764.

2. 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.

3. What are the Factors of 9257?

Answer: Factors of 9257 are 1, 9257. There are 2 integers that are factors of 9257. The greatest factor of 9257 is 9257.

4. How to Find the LCM of 9252 and 9257?

Answer:

Least Common Multiple of 9252 and 9257 = 85645764

Step 1: Find the prime factorization of 9252

9252 = 2 x 2 x 3 x 3 x 257

Step 2: Find the prime factorization of 9257

9257 = 9257

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

LCM = 85645764 = 2 x 2 x 3 x 3 x 257 x 9257

Step 4: Therefore, the least common multiple of 9252 and 9257 is 85645764.