Least Common Multiple of 449 and 456

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 456 the smallest integer that is 204744 that is divisible by both numbers.

Least Common Multiple (LCM) of 449 and 456 is 204744.

LCM(449,456) = 204744

LCM of 449 and 456

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

LCM of:
and

Least Common Multiple of 449 and 456

LCM of 449 and 456 is 204744

Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 456. First we will calculate the prime factors of 449 and 456.

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 456


2 456
2 228
2 114
3 57
19 19
1

Prime factors of 456 are 2, 3,19. Prime factorization of 456 in exponential form is:

456 = 23×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 449 and 456.

LCM(449,456) = 23×31×191×4491
LCM(449,456) = 204744

Factors of 449

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

1, 449

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Least Common Multiple of 449 and 456 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 456, than apply into the LCM equation.

GCF(449,456) = 1
LCM(449,456) = ( 449 × 456) / 1
LCM(449,456) = 204744 / 1
LCM(449,456) = 204744

Properties of LCM 449 and 456

(i) The LCM of 456 and 449 is associative

LCM of 449 and 456 = LCM of 456 and 449

Related Least Common Multiples of 449

Related Least Common Multiples of 456

Frequently Asked Questions on LCM of 449 and 456

1. What is the LCM of 449 and 456?

Answer: LCM of 449 and 456 is 204744.

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 456?

Answer: Factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456. There are 16 integers that are factors of 456. The greatest factor of 456 is 456.

4. How to Find the LCM of 449 and 456?

Answer:

Least Common Multiple of 449 and 456 = 204744

Step 1: Find the prime factorization of 449

449 = 449

Step 2: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

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

LCM = 204744 = 2 x 2 x 2 x 3 x 19 x 449

Step 4: Therefore, the least common multiple of 449 and 456 is 204744.