Least Common Multiple of 445 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 445 and 452 the smallest integer that is 201140 that is divisible by both numbers.

Least Common Multiple (LCM) of 445 and 452 is 201140.

LCM(445,452) = 201140

LCM of 445 and 452

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

LCM of:
and

Least Common Multiple of 445 and 452

LCM of 445 and 452 is 201140

Least common multiple can be found by multiplying the highest exponent prime factors of 445 and 452. First we will calculate the prime factors of 445 and 452.

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 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 445 and 452.

LCM(445,452) = 22×51×891×1131
LCM(445,452) = 201140

Factors of 445

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

1, 5, 89, 445

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 445 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 445 and 452, than apply into the LCM equation.

GCF(445,452) = 1
LCM(445,452) = ( 445 × 452) / 1
LCM(445,452) = 201140 / 1
LCM(445,452) = 201140

Properties of LCM 445 and 452

(i) The LCM of 452 and 445 is associative

LCM of 445 and 452 = LCM of 452 and 445

Related Least Common Multiples of 445

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 445 and 452

1. What is the LCM of 445 and 452?

Answer: LCM of 445 and 452 is 201140.

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 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 445 and 452?

Answer:

Least Common Multiple of 445 and 452 = 201140

Step 1: Find the prime factorization of 445

445 = 5 x 89

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 = 201140 = 2 x 2 x 5 x 89 x 113

Step 4: Therefore, the least common multiple of 445 and 452 is 201140.