Least Common Multiple of 9251 and 9258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9251 and 9258 the smallest integer that is 85645758 that is divisible by both numbers.

Least Common Multiple (LCM) of 9251 and 9258 is 85645758.

LCM(9251,9258) = 85645758

LCM of 9251 and 9258

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

LCM of:
and

Least Common Multiple of 9251 and 9258

LCM of 9251 and 9258 is 85645758

Least common multiple can be found by multiplying the highest exponent prime factors of 9251 and 9258. First we will calculate the prime factors of 9251 and 9258.

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

Prime Factorization of 9258


2 9258
3 4629
1543 1543
1

Prime factors of 9258 are 2, 3,1543. Prime factorization of 9258 in exponential form is:

9258 = 21×31×15431

Now multiplying the highest exponent prime factors to calculate the LCM of 9251 and 9258.

LCM(9251,9258) = 21×31×111×292×15431
LCM(9251,9258) = 85645758

Factors of 9251

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

1, 11, 29, 319, 841, 9251

Factors of 9258

List of positive integer factors of 9258 that divides 9258 without a remainder.

1, 2, 3, 6, 1543, 3086, 4629, 9258

Least Common Multiple of 9251 and 9258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9251 and 9258, than apply into the LCM equation.

GCF(9251,9258) = 1
LCM(9251,9258) = ( 9251 × 9258) / 1
LCM(9251,9258) = 85645758 / 1
LCM(9251,9258) = 85645758

Properties of LCM 9251 and 9258

(i) The LCM of 9258 and 9251 is associative

LCM of 9251 and 9258 = LCM of 9258 and 9251

Related Least Common Multiples of 9251

Related Least Common Multiples of 9258

Frequently Asked Questions on LCM of 9251 and 9258

1. What is the LCM of 9251 and 9258?

Answer: LCM of 9251 and 9258 is 85645758.

2. 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.

3. What are the Factors of 9258?

Answer: Factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258. There are 8 integers that are factors of 9258. The greatest factor of 9258 is 9258.

4. How to Find the LCM of 9251 and 9258?

Answer:

Least Common Multiple of 9251 and 9258 = 85645758

Step 1: Find the prime factorization of 9251

9251 = 11 x 29 x 29

Step 2: Find the prime factorization of 9258

9258 = 2 x 3 x 1543

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

LCM = 85645758 = 2 x 3 x 11 x 29 x 29 x 1543

Step 4: Therefore, the least common multiple of 9251 and 9258 is 85645758.