Least Common Multiple of 433 and 437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 433 and 437 the smallest integer that is 189221 that is divisible by both numbers.

Least Common Multiple (LCM) of 433 and 437 is 189221.

LCM(433,437) = 189221

LCM of 433 and 437

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

LCM of:
and

Least Common Multiple of 433 and 437

LCM of 433 and 437 is 189221

Least common multiple can be found by multiplying the highest exponent prime factors of 433 and 437. First we will calculate the prime factors of 433 and 437.

Prime Factorization of 433


433 433
1

Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:

433 = 4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 433 and 437.

LCM(433,437) = 191×231×4331
LCM(433,437) = 189221

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1, 433

Factors of 437

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

1, 19, 23, 437

Least Common Multiple of 433 and 437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 433 and 437, than apply into the LCM equation.

GCF(433,437) = 1
LCM(433,437) = ( 433 × 437) / 1
LCM(433,437) = 189221 / 1
LCM(433,437) = 189221

Properties of LCM 433 and 437

(i) The LCM of 437 and 433 is associative

LCM of 433 and 437 = LCM of 437 and 433

Related Least Common Multiples of 433

Related Least Common Multiples of 437

Frequently Asked Questions on LCM of 433 and 437

1. What is the LCM of 433 and 437?

Answer: LCM of 433 and 437 is 189221.

2. What are the Factors of 433?

Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.

3. 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.

4. How to Find the LCM of 433 and 437?

Answer:

Least Common Multiple of 433 and 437 = 189221

Step 1: Find the prime factorization of 433

433 = 433

Step 2: Find the prime factorization of 437

437 = 19 x 23

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

LCM = 189221 = 19 x 23 x 433

Step 4: Therefore, the least common multiple of 433 and 437 is 189221.