Least Common Multiple of 495 and 496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 495 and 496 the smallest integer that is 245520 that is divisible by both numbers.

Least Common Multiple (LCM) of 495 and 496 is 245520.

LCM(495,496) = 245520

LCM of 495 and 496

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

LCM of:
and

Least Common Multiple of 495 and 496

LCM of 495 and 496 is 245520

Least common multiple can be found by multiplying the highest exponent prime factors of 495 and 496. First we will calculate the prime factors of 495 and 496.

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

Prime Factorization of 496


2 496
2 248
2 124
2 62
31 31
1

Prime factors of 496 are 2,31. Prime factorization of 496 in exponential form is:

496 = 24×311

Now multiplying the highest exponent prime factors to calculate the LCM of 495 and 496.

LCM(495,496) = 24×32×51×111×311
LCM(495,496) = 245520

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

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Least Common Multiple of 495 and 496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 495 and 496, than apply into the LCM equation.

GCF(495,496) = 1
LCM(495,496) = ( 495 × 496) / 1
LCM(495,496) = 245520 / 1
LCM(495,496) = 245520

Properties of LCM 495 and 496

(i) The LCM of 496 and 495 is associative

LCM of 495 and 496 = LCM of 496 and 495

Related Least Common Multiples of 495

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 495 and 496

1. What is the LCM of 495 and 496?

Answer: LCM of 495 and 496 is 245520.

2. 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.

3. What are the Factors of 496?

Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. There are 10 integers that are factors of 496. The greatest factor of 496 is 496.

4. How to Find the LCM of 495 and 496?

Answer:

Least Common Multiple of 495 and 496 = 245520

Step 1: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

Step 2: Find the prime factorization of 496

496 = 2 x 2 x 2 x 2 x 31

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

LCM = 245520 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 31

Step 4: Therefore, the least common multiple of 495 and 496 is 245520.