Least Common Multiple of 9238 and 9246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9238 and 9246 the smallest integer that is 42707274 that is divisible by both numbers.

Least Common Multiple (LCM) of 9238 and 9246 is 42707274.

LCM(9238,9246) = 42707274

LCM of 9238 and 9246

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

LCM of:
and

Least Common Multiple of 9238 and 9246

LCM of 9238 and 9246 is 42707274

Least common multiple can be found by multiplying the highest exponent prime factors of 9238 and 9246. First we will calculate the prime factors of 9238 and 9246.

Prime Factorization of 9238


2 9238
31 4619
149 149
1

Prime factors of 9238 are 2, 31,149. Prime factorization of 9238 in exponential form is:

9238 = 21×311×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9238 and 9246.

LCM(9238,9246) = 21×31×231×311×671×1491
LCM(9238,9246) = 42707274

Factors of 9238

List of positive integer factors of 9238 that divides 9238 without a remainder.

1, 2, 31, 62, 149, 298, 4619, 9238

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

Least Common Multiple of 9238 and 9246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9238 and 9246, than apply into the LCM equation.

GCF(9238,9246) = 2
LCM(9238,9246) = ( 9238 × 9246) / 2
LCM(9238,9246) = 85414548 / 2
LCM(9238,9246) = 42707274

Properties of LCM 9238 and 9246

(i) The LCM of 9246 and 9238 is associative

LCM of 9238 and 9246 = LCM of 9246 and 9238

Related Least Common Multiples of 9238

Related Least Common Multiples of 9246

Frequently Asked Questions on LCM of 9238 and 9246

1. What is the LCM of 9238 and 9246?

Answer: LCM of 9238 and 9246 is 42707274.

2. What are the Factors of 9238?

Answer: Factors of 9238 are 1, 2, 31, 62, 149, 298, 4619, 9238. There are 8 integers that are factors of 9238. The greatest factor of 9238 is 9238.

3. 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.

4. How to Find the LCM of 9238 and 9246?

Answer:

Least Common Multiple of 9238 and 9246 = 42707274

Step 1: Find the prime factorization of 9238

9238 = 2 x 31 x 149

Step 2: Find the prime factorization of 9246

9246 = 2 x 3 x 23 x 67

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

LCM = 42707274 = 2 x 3 x 23 x 31 x 67 x 149

Step 4: Therefore, the least common multiple of 9238 and 9246 is 42707274.