Least Common Multiple of 428 and 434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 428 and 434 the smallest integer that is 92876 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 434 is 92876.

LCM(428,434) = 92876

LCM of 428 and 434

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

LCM of:
and

Least Common Multiple of 428 and 434

LCM of 428 and 434 is 92876

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 434. First we will calculate the prime factors of 428 and 434.

Prime Factorization of 428


2 428
2 214
107 107
1

Prime factors of 428 are 2,107. Prime factorization of 428 in exponential form is:

428 = 22×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 428 and 434.

LCM(428,434) = 22×71×311×1071
LCM(428,434) = 92876

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Factors of 434

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

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

Least Common Multiple of 428 and 434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 428 and 434, than apply into the LCM equation.

GCF(428,434) = 2
LCM(428,434) = ( 428 × 434) / 2
LCM(428,434) = 185752 / 2
LCM(428,434) = 92876

Properties of LCM 428 and 434

(i) The LCM of 434 and 428 is associative

LCM of 428 and 434 = LCM of 434 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 434

Frequently Asked Questions on LCM of 428 and 434

1. What is the LCM of 428 and 434?

Answer: LCM of 428 and 434 is 92876.

2. What are the Factors of 428?

Answer: Factors of 428 are 1, 2, 4, 107, 214, 428. There are 6 integers that are factors of 428. The greatest factor of 428 is 428.

3. 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.

4. How to Find the LCM of 428 and 434?

Answer:

Least Common Multiple of 428 and 434 = 92876

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

Step 2: Find the prime factorization of 434

434 = 2 x 7 x 31

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

LCM = 92876 = 2 x 2 x 7 x 31 x 107

Step 4: Therefore, the least common multiple of 428 and 434 is 92876.