Least Common Multiple of 428 and 435

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 435 the smallest integer that is 186180 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 435 is 186180.

LCM(428,435) = 186180

LCM of 428 and 435

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

LCM of:
and

Least Common Multiple of 428 and 435

LCM of 428 and 435 is 186180

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 435. First we will calculate the prime factors of 428 and 435.

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 435


3 435
5 145
29 29
1

Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:

435 = 31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 428 and 435.

LCM(428,435) = 22×31×51×291×1071
LCM(428,435) = 186180

Factors of 428

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

1, 2, 4, 107, 214, 428

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Least Common Multiple of 428 and 435 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 435, than apply into the LCM equation.

GCF(428,435) = 1
LCM(428,435) = ( 428 × 435) / 1
LCM(428,435) = 186180 / 1
LCM(428,435) = 186180

Properties of LCM 428 and 435

(i) The LCM of 435 and 428 is associative

LCM of 428 and 435 = LCM of 435 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 435

Frequently Asked Questions on LCM of 428 and 435

1. What is the LCM of 428 and 435?

Answer: LCM of 428 and 435 is 186180.

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 435?

Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.

4. How to Find the LCM of 428 and 435?

Answer:

Least Common Multiple of 428 and 435 = 186180

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

Step 2: Find the prime factorization of 435

435 = 3 x 5 x 29

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

LCM = 186180 = 2 x 2 x 3 x 5 x 29 x 107

Step 4: Therefore, the least common multiple of 428 and 435 is 186180.