Least Common Multiple of 434 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 434 and 438 the smallest integer that is 95046 that is divisible by both numbers.

Least Common Multiple (LCM) of 434 and 438 is 95046.

LCM(434,438) = 95046

LCM of 434 and 438

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

LCM of:
and

Least Common Multiple of 434 and 438

LCM of 434 and 438 is 95046

Least common multiple can be found by multiplying the highest exponent prime factors of 434 and 438. First we will calculate the prime factors of 434 and 438.

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 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 434 and 438.

LCM(434,438) = 21×31×71×311×731
LCM(434,438) = 95046

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 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 434 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 434 and 438, than apply into the LCM equation.

GCF(434,438) = 2
LCM(434,438) = ( 434 × 438) / 2
LCM(434,438) = 190092 / 2
LCM(434,438) = 95046

Properties of LCM 434 and 438

(i) The LCM of 438 and 434 is associative

LCM of 434 and 438 = LCM of 438 and 434

Related Least Common Multiples of 434

Related Least Common Multiples of 438

Frequently Asked Questions on LCM of 434 and 438

1. What is the LCM of 434 and 438?

Answer: LCM of 434 and 438 is 95046.

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 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 434 and 438?

Answer:

Least Common Multiple of 434 and 438 = 95046

Step 1: Find the prime factorization of 434

434 = 2 x 7 x 31

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 = 95046 = 2 x 3 x 7 x 31 x 73

Step 4: Therefore, the least common multiple of 434 and 438 is 95046.