Least Common Multiple of 9488 and 9495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9488 and 9495 the smallest integer that is 90088560 that is divisible by both numbers.

Least Common Multiple (LCM) of 9488 and 9495 is 90088560.

LCM(9488,9495) = 90088560

LCM of 9488 and 9495

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

LCM of:
and

Least Common Multiple of 9488 and 9495

LCM of 9488 and 9495 is 90088560

Least common multiple can be found by multiplying the highest exponent prime factors of 9488 and 9495. First we will calculate the prime factors of 9488 and 9495.

Prime Factorization of 9488


2 9488
2 4744
2 2372
2 1186
593 593
1

Prime factors of 9488 are 2,593. Prime factorization of 9488 in exponential form is:

9488 = 24×5931

Prime Factorization of 9495


3 9495
3 3165
5 1055
211 211
1

Prime factors of 9495 are 3, 5,211. Prime factorization of 9495 in exponential form is:

9495 = 32×51×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 9488 and 9495.

LCM(9488,9495) = 24×32×51×2111×5931
LCM(9488,9495) = 90088560

Factors of 9488

List of positive integer factors of 9488 that divides 9488 without a remainder.

1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488

Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495

Least Common Multiple of 9488 and 9495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9488 and 9495, than apply into the LCM equation.

GCF(9488,9495) = 1
LCM(9488,9495) = ( 9488 × 9495) / 1
LCM(9488,9495) = 90088560 / 1
LCM(9488,9495) = 90088560

Properties of LCM 9488 and 9495

(i) The LCM of 9495 and 9488 is associative

LCM of 9488 and 9495 = LCM of 9495 and 9488

Related Least Common Multiples of 9488

Related Least Common Multiples of 9495

Frequently Asked Questions on LCM of 9488 and 9495

1. What is the LCM of 9488 and 9495?

Answer: LCM of 9488 and 9495 is 90088560.

2. What are the Factors of 9488?

Answer: Factors of 9488 are 1, 2, 4, 8, 16, 593, 1186, 2372, 4744, 9488. There are 10 integers that are factors of 9488. The greatest factor of 9488 is 9488.

3. What are the Factors of 9495?

Answer: Factors of 9495 are 1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165, 9495. There are 12 integers that are factors of 9495. The greatest factor of 9495 is 9495.

4. How to Find the LCM of 9488 and 9495?

Answer:

Least Common Multiple of 9488 and 9495 = 90088560

Step 1: Find the prime factorization of 9488

9488 = 2 x 2 x 2 x 2 x 593

Step 2: Find the prime factorization of 9495

9495 = 3 x 3 x 5 x 211

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

LCM = 90088560 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 211 x 593

Step 4: Therefore, the least common multiple of 9488 and 9495 is 90088560.