Least Common Multiple of 444 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 444 and 452 the smallest integer that is 50172 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 452 is 50172.

LCM(444,452) = 50172

LCM of 444 and 452

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

LCM of:
and

Least Common Multiple of 444 and 452

LCM of 444 and 452 is 50172

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 452. First we will calculate the prime factors of 444 and 452.

Prime Factorization of 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2, 3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

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 444 and 452.

LCM(444,452) = 22×31×371×1131
LCM(444,452) = 50172

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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 444 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 444 and 452, than apply into the LCM equation.

GCF(444,452) = 4
LCM(444,452) = ( 444 × 452) / 4
LCM(444,452) = 200688 / 4
LCM(444,452) = 50172

Properties of LCM 444 and 452

(i) The LCM of 452 and 444 is associative

LCM of 444 and 452 = LCM of 452 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 444 and 452

1. What is the LCM of 444 and 452?

Answer: LCM of 444 and 452 is 50172.

2. What are the Factors of 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

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 444 and 452?

Answer:

Least Common Multiple of 444 and 452 = 50172

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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 = 50172 = 2 x 2 x 3 x 37 x 113

Step 4: Therefore, the least common multiple of 444 and 452 is 50172.