Least Common Multiple of 438 and 440

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 440 the smallest integer that is 96360 that is divisible by both numbers.

Least Common Multiple (LCM) of 438 and 440 is 96360.

LCM(438,440) = 96360

LCM of 438 and 440

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

LCM of:
and

Least Common Multiple of 438 and 440

LCM of 438 and 440 is 96360

Least common multiple can be found by multiplying the highest exponent prime factors of 438 and 440. First we will calculate the prime factors of 438 and 440.

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 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2, 5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 438 and 440.

LCM(438,440) = 23×31×51×111×731
LCM(438,440) = 96360

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 440

List of positive integer factors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Least Common Multiple of 438 and 440 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 440, than apply into the LCM equation.

GCF(438,440) = 2
LCM(438,440) = ( 438 × 440) / 2
LCM(438,440) = 192720 / 2
LCM(438,440) = 96360

Properties of LCM 438 and 440

(i) The LCM of 440 and 438 is associative

LCM of 438 and 440 = LCM of 440 and 438

Related Least Common Multiples of 438

Related Least Common Multiples of 440

Frequently Asked Questions on LCM of 438 and 440

1. What is the LCM of 438 and 440?

Answer: LCM of 438 and 440 is 96360.

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 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

4. How to Find the LCM of 438 and 440?

Answer:

Least Common Multiple of 438 and 440 = 96360

Step 1: Find the prime factorization of 438

438 = 2 x 3 x 73

Step 2: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

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

LCM = 96360 = 2 x 2 x 2 x 3 x 5 x 11 x 73

Step 4: Therefore, the least common multiple of 438 and 440 is 96360.