Least Common Multiple of 445 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 445 and 450 the smallest integer that is 40050 that is divisible by both numbers.

Least Common Multiple (LCM) of 445 and 450 is 40050.

LCM(445,450) = 40050

LCM of 445 and 450

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

LCM of:
and

Least Common Multiple of 445 and 450

LCM of 445 and 450 is 40050

Least common multiple can be found by multiplying the highest exponent prime factors of 445 and 450. First we will calculate the prime factors of 445 and 450.

Prime Factorization of 445


5 445
89 89
1

Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:

445 = 51×891

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 445 and 450.

LCM(445,450) = 21×32×52×891
LCM(445,450) = 40050

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1, 5, 89, 445

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 445 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 445 and 450, than apply into the LCM equation.

GCF(445,450) = 5
LCM(445,450) = ( 445 × 450) / 5
LCM(445,450) = 200250 / 5
LCM(445,450) = 40050

Properties of LCM 445 and 450

(i) The LCM of 450 and 445 is associative

LCM of 445 and 450 = LCM of 450 and 445

Related Least Common Multiples of 445

Related Least Common Multiples of 450

Frequently Asked Questions on LCM of 445 and 450

1. What is the LCM of 445 and 450?

Answer: LCM of 445 and 450 is 40050.

2. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

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 445 and 450?

Answer:

Least Common Multiple of 445 and 450 = 40050

Step 1: Find the prime factorization of 445

445 = 5 x 89

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 = 40050 = 2 x 3 x 3 x 5 x 5 x 89

Step 4: Therefore, the least common multiple of 445 and 450 is 40050.