Least Common Multiple of 449 and 457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 449 and 457 the smallest integer that is 205193 that is divisible by both numbers.

Least Common Multiple (LCM) of 449 and 457 is 205193.

LCM(449,457) = 205193

LCM of 449 and 457

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

LCM of:
and

Least Common Multiple of 449 and 457

LCM of 449 and 457 is 205193

Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 457. First we will calculate the prime factors of 449 and 457.

Prime Factorization of 449


449 449
1

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 4491

Prime Factorization of 457


457 457
1

Prime factors of 457 are 457. Prime factorization of 457 in exponential form is:

457 = 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 449 and 457.

LCM(449,457) = 4491×4571
LCM(449,457) = 205193

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1, 449

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1, 457

Least Common Multiple of 449 and 457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 449 and 457, than apply into the LCM equation.

GCF(449,457) = 1
LCM(449,457) = ( 449 × 457) / 1
LCM(449,457) = 205193 / 1
LCM(449,457) = 205193

Properties of LCM 449 and 457

(i) The LCM of 457 and 449 is associative

LCM of 449 and 457 = LCM of 457 and 449

Related Least Common Multiples of 449

Related Least Common Multiples of 457

Frequently Asked Questions on LCM of 449 and 457

1. What is the LCM of 449 and 457?

Answer: LCM of 449 and 457 is 205193.

2. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

3. What are the Factors of 457?

Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.

4. How to Find the LCM of 449 and 457?

Answer:

Least Common Multiple of 449 and 457 = 205193

Step 1: Find the prime factorization of 449

449 = 449

Step 2: Find the prime factorization of 457

457 = 457

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

LCM = 205193 = 449 x 457

Step 4: Therefore, the least common multiple of 449 and 457 is 205193.