Least Common Multiple of 9255 and 9262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9255 and 9262 the smallest integer that is 85719810 that is divisible by both numbers.

Least Common Multiple (LCM) of 9255 and 9262 is 85719810.

LCM(9255,9262) = 85719810

LCM of 9255 and 9262

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

LCM of:
and

Least Common Multiple of 9255 and 9262

LCM of 9255 and 9262 is 85719810

Least common multiple can be found by multiplying the highest exponent prime factors of 9255 and 9262. First we will calculate the prime factors of 9255 and 9262.

Prime Factorization of 9255


3 9255
5 3085
617 617
1

Prime factors of 9255 are 3, 5,617. Prime factorization of 9255 in exponential form is:

9255 = 31×51×6171

Prime Factorization of 9262


2 9262
11 4631
421 421
1

Prime factors of 9262 are 2, 11,421. Prime factorization of 9262 in exponential form is:

9262 = 21×111×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 9255 and 9262.

LCM(9255,9262) = 21×31×51×111×4211×6171
LCM(9255,9262) = 85719810

Factors of 9255

List of positive integer factors of 9255 that divides 9255 without a remainder.

1, 3, 5, 15, 617, 1851, 3085, 9255

Factors of 9262

List of positive integer factors of 9262 that divides 9262 without a remainder.

1, 2, 11, 22, 421, 842, 4631, 9262

Least Common Multiple of 9255 and 9262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9255 and 9262, than apply into the LCM equation.

GCF(9255,9262) = 1
LCM(9255,9262) = ( 9255 × 9262) / 1
LCM(9255,9262) = 85719810 / 1
LCM(9255,9262) = 85719810

Properties of LCM 9255 and 9262

(i) The LCM of 9262 and 9255 is associative

LCM of 9255 and 9262 = LCM of 9262 and 9255

Related Least Common Multiples of 9255

Related Least Common Multiples of 9262

Frequently Asked Questions on LCM of 9255 and 9262

1. What is the LCM of 9255 and 9262?

Answer: LCM of 9255 and 9262 is 85719810.

2. What are the Factors of 9255?

Answer: Factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255. There are 8 integers that are factors of 9255. The greatest factor of 9255 is 9255.

3. What are the Factors of 9262?

Answer: Factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262. There are 8 integers that are factors of 9262. The greatest factor of 9262 is 9262.

4. How to Find the LCM of 9255 and 9262?

Answer:

Least Common Multiple of 9255 and 9262 = 85719810

Step 1: Find the prime factorization of 9255

9255 = 3 x 5 x 617

Step 2: Find the prime factorization of 9262

9262 = 2 x 11 x 421

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

LCM = 85719810 = 2 x 3 x 5 x 11 x 421 x 617

Step 4: Therefore, the least common multiple of 9255 and 9262 is 85719810.