Least Common Multiple of 9232 and 9237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9232 and 9237 the smallest integer that is 85275984 that is divisible by both numbers.

Least Common Multiple (LCM) of 9232 and 9237 is 85275984.

LCM(9232,9237) = 85275984

LCM of 9232 and 9237

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

LCM of:
and

Least Common Multiple of 9232 and 9237

LCM of 9232 and 9237 is 85275984

Least common multiple can be found by multiplying the highest exponent prime factors of 9232 and 9237. First we will calculate the prime factors of 9232 and 9237.

Prime Factorization of 9232


2 9232
2 4616
2 2308
2 1154
577 577
1

Prime factors of 9232 are 2,577. Prime factorization of 9232 in exponential form is:

9232 = 24×5771

Prime Factorization of 9237


3 9237
3079 3079
1

Prime factors of 9237 are 3,3079. Prime factorization of 9237 in exponential form is:

9237 = 31×30791

Now multiplying the highest exponent prime factors to calculate the LCM of 9232 and 9237.

LCM(9232,9237) = 24×31×5771×30791
LCM(9232,9237) = 85275984

Factors of 9232

List of positive integer factors of 9232 that divides 9232 without a remainder.

1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232

Factors of 9237

List of positive integer factors of 9237 that divides 9237 without a remainder.

1, 3, 3079, 9237

Least Common Multiple of 9232 and 9237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9232 and 9237, than apply into the LCM equation.

GCF(9232,9237) = 1
LCM(9232,9237) = ( 9232 × 9237) / 1
LCM(9232,9237) = 85275984 / 1
LCM(9232,9237) = 85275984

Properties of LCM 9232 and 9237

(i) The LCM of 9237 and 9232 is associative

LCM of 9232 and 9237 = LCM of 9237 and 9232

Related Least Common Multiples of 9232

Related Least Common Multiples of 9237

Frequently Asked Questions on LCM of 9232 and 9237

1. What is the LCM of 9232 and 9237?

Answer: LCM of 9232 and 9237 is 85275984.

2. What are the Factors of 9232?

Answer: Factors of 9232 are 1, 2, 4, 8, 16, 577, 1154, 2308, 4616, 9232. There are 10 integers that are factors of 9232. The greatest factor of 9232 is 9232.

3. What are the Factors of 9237?

Answer: Factors of 9237 are 1, 3, 3079, 9237. There are 4 integers that are factors of 9237. The greatest factor of 9237 is 9237.

4. How to Find the LCM of 9232 and 9237?

Answer:

Least Common Multiple of 9232 and 9237 = 85275984

Step 1: Find the prime factorization of 9232

9232 = 2 x 2 x 2 x 2 x 577

Step 2: Find the prime factorization of 9237

9237 = 3 x 3079

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

LCM = 85275984 = 2 x 2 x 2 x 2 x 3 x 577 x 3079

Step 4: Therefore, the least common multiple of 9232 and 9237 is 85275984.