Least Common Multiple of 450 and 452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 450 and 452 the smallest integer that is 101700 that is divisible by both numbers.

Least Common Multiple (LCM) of 450 and 452 is 101700.

LCM(450,452) = 101700

LCM of 450 and 452

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

LCM of:
and

Least Common Multiple of 450 and 452

LCM of 450 and 452 is 101700

Least common multiple can be found by multiplying the highest exponent prime factors of 450 and 452. First we will calculate the prime factors of 450 and 452.

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

Prime Factorization of 452


2 452
2 226
113 113
1

Prime factors of 452 are 2,113. Prime factorization of 452 in exponential form is:

452 = 22×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 450 and 452.

LCM(450,452) = 22×32×52×1131
LCM(450,452) = 101700

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

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Least Common Multiple of 450 and 452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 450 and 452, than apply into the LCM equation.

GCF(450,452) = 2
LCM(450,452) = ( 450 × 452) / 2
LCM(450,452) = 203400 / 2
LCM(450,452) = 101700

Properties of LCM 450 and 452

(i) The LCM of 452 and 450 is associative

LCM of 450 and 452 = LCM of 452 and 450

Related Least Common Multiples of 450

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 450 and 452

1. What is the LCM of 450 and 452?

Answer: LCM of 450 and 452 is 101700.

2. 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.

3. What are the Factors of 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

4. How to Find the LCM of 450 and 452?

Answer:

Least Common Multiple of 450 and 452 = 101700

Step 1: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 452

452 = 2 x 2 x 113

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

LCM = 101700 = 2 x 2 x 3 x 3 x 5 x 5 x 113

Step 4: Therefore, the least common multiple of 450 and 452 is 101700.