Least Common Multiple of 436 and 444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 436 and 444 the smallest integer that is 48396 that is divisible by both numbers.

Least Common Multiple (LCM) of 436 and 444 is 48396.

LCM(436,444) = 48396

LCM of 436 and 444

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

LCM of:
and

Least Common Multiple of 436 and 444

LCM of 436 and 444 is 48396

Least common multiple can be found by multiplying the highest exponent prime factors of 436 and 444. First we will calculate the prime factors of 436 and 444.

Prime Factorization of 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 436 and 444.

LCM(436,444) = 22×31×371×1091
LCM(436,444) = 48396

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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

Least Common Multiple of 436 and 444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 436 and 444, than apply into the LCM equation.

GCF(436,444) = 4
LCM(436,444) = ( 436 × 444) / 4
LCM(436,444) = 193584 / 4
LCM(436,444) = 48396

Properties of LCM 436 and 444

(i) The LCM of 444 and 436 is associative

LCM of 436 and 444 = LCM of 444 and 436

Related Least Common Multiples of 436

Related Least Common Multiples of 444

Frequently Asked Questions on LCM of 436 and 444

1. What is the LCM of 436 and 444?

Answer: LCM of 436 and 444 is 48396.

2. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

3. 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.

4. How to Find the LCM of 436 and 444?

Answer:

Least Common Multiple of 436 and 444 = 48396

Step 1: Find the prime factorization of 436

436 = 2 x 2 x 109

Step 2: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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

LCM = 48396 = 2 x 2 x 3 x 37 x 109

Step 4: Therefore, the least common multiple of 436 and 444 is 48396.