Least Common Multiple of 493 and 495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 493 and 495 the smallest integer that is 244035 that is divisible by both numbers.

Least Common Multiple (LCM) of 493 and 495 is 244035.

LCM(493,495) = 244035

LCM of 493 and 495

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

LCM of:
and

Least Common Multiple of 493 and 495

LCM of 493 and 495 is 244035

Least common multiple can be found by multiplying the highest exponent prime factors of 493 and 495. First we will calculate the prime factors of 493 and 495.

Prime Factorization of 493


17 493
29 29
1

Prime factors of 493 are 17,29. Prime factorization of 493 in exponential form is:

493 = 171×291

Prime Factorization of 495


3 495
3 165
5 55
11 11
1

Prime factors of 495 are 3, 5,11. Prime factorization of 495 in exponential form is:

495 = 32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 493 and 495.

LCM(493,495) = 32×51×111×171×291
LCM(493,495) = 244035

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Least Common Multiple of 493 and 495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 493 and 495, than apply into the LCM equation.

GCF(493,495) = 1
LCM(493,495) = ( 493 × 495) / 1
LCM(493,495) = 244035 / 1
LCM(493,495) = 244035

Properties of LCM 493 and 495

(i) The LCM of 495 and 493 is associative

LCM of 493 and 495 = LCM of 495 and 493

Related Least Common Multiples of 493

Related Least Common Multiples of 495

Frequently Asked Questions on LCM of 493 and 495

1. What is the LCM of 493 and 495?

Answer: LCM of 493 and 495 is 244035.

2. What are the Factors of 493?

Answer: Factors of 493 are 1, 17, 29, 493. There are 4 integers that are factors of 493. The greatest factor of 493 is 493.

3. What are the Factors of 495?

Answer: Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. There are 12 integers that are factors of 495. The greatest factor of 495 is 495.

4. How to Find the LCM of 493 and 495?

Answer:

Least Common Multiple of 493 and 495 = 244035

Step 1: Find the prime factorization of 493

493 = 17 x 29

Step 2: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

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

LCM = 244035 = 3 x 3 x 5 x 11 x 17 x 29

Step 4: Therefore, the least common multiple of 493 and 495 is 244035.