Least Common Multiple of 491 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 491 and 496 the smallest integer that is 243536 that is divisible by both numbers.

Least Common Multiple (LCM) of 491 and 496 is 243536.

LCM(491,496) = 243536

LCM of 491 and 496

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

LCM of:
and

Least Common Multiple of 491 and 496

LCM of 491 and 496 is 243536

Least common multiple can be found by multiplying the highest exponent prime factors of 491 and 496. First we will calculate the prime factors of 491 and 496.

Prime Factorization of 491


491 491
1

Prime factors of 491 are 491. Prime factorization of 491 in exponential form is:

491 = 4911

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 491 and 496.

LCM(491,496) = 24×311×4911
LCM(491,496) = 243536

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1, 491

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 491 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 491 and 496, than apply into the LCM equation.

GCF(491,496) = 1
LCM(491,496) = ( 491 × 496) / 1
LCM(491,496) = 243536 / 1
LCM(491,496) = 243536

Properties of LCM 491 and 496

(i) The LCM of 496 and 491 is associative

LCM of 491 and 496 = LCM of 496 and 491

Related Least Common Multiples of 491

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 491 and 496

1. What is the LCM of 491 and 496?

Answer: LCM of 491 and 496 is 243536.

2. What are the Factors of 491?

Answer: Factors of 491 are 1, 491. There are 2 integers that are factors of 491. The greatest factor of 491 is 491.

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 491 and 496?

Answer:

Least Common Multiple of 491 and 496 = 243536

Step 1: Find the prime factorization of 491

491 = 491

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 = 243536 = 2 x 2 x 2 x 2 x 31 x 491

Step 4: Therefore, the least common multiple of 491 and 496 is 243536.