Least Common Multiple of 449 and 450

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 450 the smallest integer that is 202050 that is divisible by both numbers.

Least Common Multiple (LCM) of 449 and 450 is 202050.

LCM(449,450) = 202050

LCM of 449 and 450

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

LCM of:
and

Least Common Multiple of 449 and 450

LCM of 449 and 450 is 202050

Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 450. First we will calculate the prime factors of 449 and 450.

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 450


2 450
3 225
3 75
5 25
5 5
1

Prime factors of 450 are 2, 3,5. Prime factorization of 450 in exponential form is:

450 = 21×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 449 and 450.

LCM(449,450) = 21×32×52×4491
LCM(449,450) = 202050

Factors of 449

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

1, 449

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Least Common Multiple of 449 and 450 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 450, than apply into the LCM equation.

GCF(449,450) = 1
LCM(449,450) = ( 449 × 450) / 1
LCM(449,450) = 202050 / 1
LCM(449,450) = 202050

Properties of LCM 449 and 450

(i) The LCM of 450 and 449 is associative

LCM of 449 and 450 = LCM of 450 and 449

Related Least Common Multiples of 449

Related Least Common Multiples of 450

Frequently Asked Questions on LCM of 449 and 450

1. What is the LCM of 449 and 450?

Answer: LCM of 449 and 450 is 202050.

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 450?

Answer: Factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. There are 18 integers that are factors of 450. The greatest factor of 450 is 450.

4. How to Find the LCM of 449 and 450?

Answer:

Least Common Multiple of 449 and 450 = 202050

Step 1: Find the prime factorization of 449

449 = 449

Step 2: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

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

LCM = 202050 = 2 x 3 x 3 x 5 x 5 x 449

Step 4: Therefore, the least common multiple of 449 and 450 is 202050.