Least Common Multiple of 428 and 430

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 430 the smallest integer that is 92020 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 430 is 92020.

LCM(428,430) = 92020

LCM of 428 and 430

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

LCM of:
and

Least Common Multiple of 428 and 430

LCM of 428 and 430 is 92020

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 430. First we will calculate the prime factors of 428 and 430.

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 430


2 430
5 215
43 43
1

Prime factors of 430 are 2, 5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 428 and 430.

LCM(428,430) = 22×51×431×1071
LCM(428,430) = 92020

Factors of 428

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

1, 2, 4, 107, 214, 428

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Least Common Multiple of 428 and 430 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 430, than apply into the LCM equation.

GCF(428,430) = 2
LCM(428,430) = ( 428 × 430) / 2
LCM(428,430) = 184040 / 2
LCM(428,430) = 92020

Properties of LCM 428 and 430

(i) The LCM of 430 and 428 is associative

LCM of 428 and 430 = LCM of 430 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 430

Frequently Asked Questions on LCM of 428 and 430

1. What is the LCM of 428 and 430?

Answer: LCM of 428 and 430 is 92020.

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 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

4. How to Find the LCM of 428 and 430?

Answer:

Least Common Multiple of 428 and 430 = 92020

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

Step 2: Find the prime factorization of 430

430 = 2 x 5 x 43

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

LCM = 92020 = 2 x 2 x 5 x 43 x 107

Step 4: Therefore, the least common multiple of 428 and 430 is 92020.