Least Common Multiple of 9246 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 9246 and 9252 the smallest integer that is 14257332 that is divisible by both numbers.

Least Common Multiple (LCM) of 9246 and 9252 is 14257332.

LCM(9246,9252) = 14257332

LCM of 9246 and 9252

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

LCM of:
and

Least Common Multiple of 9246 and 9252

LCM of 9246 and 9252 is 14257332

Least common multiple can be found by multiplying the highest exponent prime factors of 9246 and 9252. First we will calculate the prime factors of 9246 and 9252.

Prime Factorization of 9246


2 9246
3 4623
23 1541
67 67
1

Prime factors of 9246 are 2, 3, 23,67. Prime factorization of 9246 in exponential form is:

9246 = 21×31×231×671

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 9246 and 9252.

LCM(9246,9252) = 22×32×231×671×2571
LCM(9246,9252) = 14257332

Factors of 9246

List of positive integer factors of 9246 that divides 9246 without a remainder.

1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246

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 9246 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 9246 and 9252, than apply into the LCM equation.

GCF(9246,9252) = 6
LCM(9246,9252) = ( 9246 × 9252) / 6
LCM(9246,9252) = 85543992 / 6
LCM(9246,9252) = 14257332

Properties of LCM 9246 and 9252

(i) The LCM of 9252 and 9246 is associative

LCM of 9246 and 9252 = LCM of 9252 and 9246

Related Least Common Multiples of 9246

Related Least Common Multiples of 9252

Frequently Asked Questions on LCM of 9246 and 9252

1. What is the LCM of 9246 and 9252?

Answer: LCM of 9246 and 9252 is 14257332.

2. What are the Factors of 9246?

Answer: Factors of 9246 are 1, 2, 3, 6, 23, 46, 67, 69, 134, 138, 201, 402, 1541, 3082, 4623, 9246. There are 16 integers that are factors of 9246. The greatest factor of 9246 is 9246.

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 9246 and 9252?

Answer:

Least Common Multiple of 9246 and 9252 = 14257332

Step 1: Find the prime factorization of 9246

9246 = 2 x 3 x 23 x 67

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 = 14257332 = 2 x 2 x 3 x 3 x 23 x 67 x 257

Step 4: Therefore, the least common multiple of 9246 and 9252 is 14257332.