Least Common Multiple of 437 and 438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 437 and 438 the smallest integer that is 191406 that is divisible by both numbers.

Least Common Multiple (LCM) of 437 and 438 is 191406.

LCM(437,438) = 191406

LCM of 437 and 438

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

LCM of:
and

Least Common Multiple of 437 and 438

LCM of 437 and 438 is 191406

Least common multiple can be found by multiplying the highest exponent prime factors of 437 and 438. First we will calculate the prime factors of 437 and 438.

Prime Factorization of 437


19 437
23 23
1

Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:

437 = 191×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 437 and 438.

LCM(437,438) = 21×31×191×231×731
LCM(437,438) = 191406

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Factors of 438

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

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

Least Common Multiple of 437 and 438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 437 and 438, than apply into the LCM equation.

GCF(437,438) = 1
LCM(437,438) = ( 437 × 438) / 1
LCM(437,438) = 191406 / 1
LCM(437,438) = 191406

Properties of LCM 437 and 438

(i) The LCM of 438 and 437 is associative

LCM of 437 and 438 = LCM of 438 and 437

Related Least Common Multiples of 437

Related Least Common Multiples of 438

Frequently Asked Questions on LCM of 437 and 438

1. What is the LCM of 437 and 438?

Answer: LCM of 437 and 438 is 191406.

2. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

3. 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.

4. How to Find the LCM of 437 and 438?

Answer:

Least Common Multiple of 437 and 438 = 191406

Step 1: Find the prime factorization of 437

437 = 19 x 23

Step 2: Find the prime factorization of 438

438 = 2 x 3 x 73

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

LCM = 191406 = 2 x 3 x 19 x 23 x 73

Step 4: Therefore, the least common multiple of 437 and 438 is 191406.