Least Common Multiple of 428 and 436

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 436 the smallest integer that is 46652 that is divisible by both numbers.

Least Common Multiple (LCM) of 428 and 436 is 46652.

LCM(428,436) = 46652

LCM of 428 and 436

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

LCM of:
and

Least Common Multiple of 428 and 436

LCM of 428 and 436 is 46652

Least common multiple can be found by multiplying the highest exponent prime factors of 428 and 436. First we will calculate the prime factors of 428 and 436.

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 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 428 and 436.

LCM(428,436) = 22×1071×1091
LCM(428,436) = 46652

Factors of 428

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

1, 2, 4, 107, 214, 428

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Least Common Multiple of 428 and 436 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 436, than apply into the LCM equation.

GCF(428,436) = 4
LCM(428,436) = ( 428 × 436) / 4
LCM(428,436) = 186608 / 4
LCM(428,436) = 46652

Properties of LCM 428 and 436

(i) The LCM of 436 and 428 is associative

LCM of 428 and 436 = LCM of 436 and 428

Related Least Common Multiples of 428

Related Least Common Multiples of 436

Frequently Asked Questions on LCM of 428 and 436

1. What is the LCM of 428 and 436?

Answer: LCM of 428 and 436 is 46652.

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 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. How to Find the LCM of 428 and 436?

Answer:

Least Common Multiple of 428 and 436 = 46652

Step 1: Find the prime factorization of 428

428 = 2 x 2 x 107

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

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

LCM = 46652 = 2 x 2 x 107 x 109

Step 4: Therefore, the least common multiple of 428 and 436 is 46652.