Least Common Multiple of 434 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 434 and 437 the smallest integer that is 189658 that is divisible by both numbers.

Least Common Multiple (LCM) of 434 and 437 is 189658.

LCM(434,437) = 189658

LCM of 434 and 437

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

LCM of:
and

Least Common Multiple of 434 and 437

LCM of 434 and 437 is 189658

Least common multiple can be found by multiplying the highest exponent prime factors of 434 and 437. First we will calculate the prime factors of 434 and 437.

Prime Factorization of 434


2 434
7 217
31 31
1

Prime factors of 434 are 2, 7,31. Prime factorization of 434 in exponential form is:

434 = 21×71×311

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 434 and 437.

LCM(434,437) = 21×71×191×231×311
LCM(434,437) = 189658

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Factors of 437

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

1, 19, 23, 437

Least Common Multiple of 434 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 434 and 437, than apply into the LCM equation.

GCF(434,437) = 1
LCM(434,437) = ( 434 × 437) / 1
LCM(434,437) = 189658 / 1
LCM(434,437) = 189658

Properties of LCM 434 and 437

(i) The LCM of 437 and 434 is associative

LCM of 434 and 437 = LCM of 437 and 434

Related Least Common Multiples of 434

Related Least Common Multiples of 437

Frequently Asked Questions on LCM of 434 and 437

1. What is the LCM of 434 and 437?

Answer: LCM of 434 and 437 is 189658.

2. What are the Factors of 434?

Answer: Factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434. There are 8 integers that are factors of 434. The greatest factor of 434 is 434.

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 434 and 437?

Answer:

Least Common Multiple of 434 and 437 = 189658

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

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 = 189658 = 2 x 7 x 19 x 23 x 31

Step 4: Therefore, the least common multiple of 434 and 437 is 189658.