Least Common Multiple of 9246 and 9251

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 9251 the smallest integer that is 85534746 that is divisible by both numbers.

Least Common Multiple (LCM) of 9246 and 9251 is 85534746.

LCM(9246,9251) = 85534746

LCM of 9246 and 9251

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

LCM of:
and

Least Common Multiple of 9246 and 9251

LCM of 9246 and 9251 is 85534746

Least common multiple can be found by multiplying the highest exponent prime factors of 9246 and 9251. First we will calculate the prime factors of 9246 and 9251.

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 9251


11 9251
29 841
29 29
1

Prime factors of 9251 are 11,29. Prime factorization of 9251 in exponential form is:

9251 = 111×292

Now multiplying the highest exponent prime factors to calculate the LCM of 9246 and 9251.

LCM(9246,9251) = 21×31×111×231×292×671
LCM(9246,9251) = 85534746

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 9251

List of positive integer factors of 9251 that divides 9251 without a remainder.

1, 11, 29, 319, 841, 9251

Least Common Multiple of 9246 and 9251 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 9251, than apply into the LCM equation.

GCF(9246,9251) = 1
LCM(9246,9251) = ( 9246 × 9251) / 1
LCM(9246,9251) = 85534746 / 1
LCM(9246,9251) = 85534746

Properties of LCM 9246 and 9251

(i) The LCM of 9251 and 9246 is associative

LCM of 9246 and 9251 = LCM of 9251 and 9246

Related Least Common Multiples of 9246

Related Least Common Multiples of 9251

Frequently Asked Questions on LCM of 9246 and 9251

1. What is the LCM of 9246 and 9251?

Answer: LCM of 9246 and 9251 is 85534746.

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 9251?

Answer: Factors of 9251 are 1, 11, 29, 319, 841, 9251. There are 6 integers that are factors of 9251. The greatest factor of 9251 is 9251.

4. How to Find the LCM of 9246 and 9251?

Answer:

Least Common Multiple of 9246 and 9251 = 85534746

Step 1: Find the prime factorization of 9246

9246 = 2 x 3 x 23 x 67

Step 2: Find the prime factorization of 9251

9251 = 11 x 29 x 29

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

LCM = 85534746 = 2 x 3 x 11 x 23 x 29 x 29 x 67

Step 4: Therefore, the least common multiple of 9246 and 9251 is 85534746.