Least Common Multiple of 438 and 441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 438 and 441 the smallest integer that is 64386 that is divisible by both numbers.

Least Common Multiple (LCM) of 438 and 441 is 64386.

LCM(438,441) = 64386

LCM of 438 and 441

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

LCM of:
and

Least Common Multiple of 438 and 441

LCM of 438 and 441 is 64386

Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 441. First we will calculate the prime factors of 438 and 441.

Prime Factorization of 438


2 438
3 219
73 73
1

Prime factors of 438 are 2, 3,73. Prime factorization of 438 in exponential form is:

438 = 21×31×731

Prime Factorization of 441


3 441
3 147
7 49
7 7
1

Prime factors of 441 are 3,7. Prime factorization of 441 in exponential form is:

441 = 32×72

Now multiplying the highest exponent prime factors to calculate the LCM of 438 and 441.

LCM(438,441) = 21×32×72×731
LCM(438,441) = 64386

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Least Common Multiple of 438 and 441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 438 and 441, than apply into the LCM equation.

GCF(438,441) = 3
LCM(438,441) = ( 438 × 441) / 3
LCM(438,441) = 193158 / 3
LCM(438,441) = 64386

Properties of LCM 438 and 441

(i) The LCM of 441 and 438 is associative

LCM of 438 and 441 = LCM of 441 and 438

Related Least Common Multiples of 438

Related Least Common Multiples of 441

Frequently Asked Questions on LCM of 438 and 441

1. What is the LCM of 438 and 441?

Answer: LCM of 438 and 441 is 64386.

2. What are the Factors of 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

3. What are the Factors of 441?

Answer: Factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441. There are 9 integers that are factors of 441. The greatest factor of 441 is 441.

4. How to Find the LCM of 438 and 441?

Answer:

Least Common Multiple of 438 and 441 = 64386

Step 1: Find the prime factorization of 438

438 = 2 x 3 x 73

Step 2: Find the prime factorization of 441

441 = 3 x 3 x 7 x 7

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

LCM = 64386 = 2 x 3 x 3 x 7 x 7 x 73

Step 4: Therefore, the least common multiple of 438 and 441 is 64386.