Least Common Multiple of 6428 and 6432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6428 and 6432 the smallest integer that is 10336224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6428 and 6432 is 10336224.

LCM(6428,6432) = 10336224

LCM of 6428 and 6432

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

LCM of:
and

Least Common Multiple of 6428 and 6432

LCM of 6428 and 6432 is 10336224

Least common multiple can be found by multiplying the highest exponent prime factors of 6428 and 6432. First we will calculate the prime factors of 6428 and 6432.

Prime Factorization of 6428


2 6428
2 3214
1607 1607
1

Prime factors of 6428 are 2,1607. Prime factorization of 6428 in exponential form is:

6428 = 22×16071

Prime Factorization of 6432


2 6432
2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 6432 are 2, 3,67. Prime factorization of 6432 in exponential form is:

6432 = 25×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6428 and 6432.

LCM(6428,6432) = 25×31×671×16071
LCM(6428,6432) = 10336224

Factors of 6428

List of positive integer factors of 6428 that divides 6428 without a remainder.

1, 2, 4, 1607, 3214, 6428

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432

Least Common Multiple of 6428 and 6432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6428 and 6432, than apply into the LCM equation.

GCF(6428,6432) = 4
LCM(6428,6432) = ( 6428 × 6432) / 4
LCM(6428,6432) = 41344896 / 4
LCM(6428,6432) = 10336224

Properties of LCM 6428 and 6432

(i) The LCM of 6432 and 6428 is associative

LCM of 6428 and 6432 = LCM of 6432 and 6428

Related Least Common Multiples of 6428

Related Least Common Multiples of 6432

Frequently Asked Questions on LCM of 6428 and 6432

1. What is the LCM of 6428 and 6432?

Answer: LCM of 6428 and 6432 is 10336224.

2. What are the Factors of 6428?

Answer: Factors of 6428 are 1, 2, 4, 1607, 3214, 6428. There are 6 integers that are factors of 6428. The greatest factor of 6428 is 6428.

3. What are the Factors of 6432?

Answer: Factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432. There are 24 integers that are factors of 6432. The greatest factor of 6432 is 6432.

4. How to Find the LCM of 6428 and 6432?

Answer:

Least Common Multiple of 6428 and 6432 = 10336224

Step 1: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

Step 2: Find the prime factorization of 6432

6432 = 2 x 2 x 2 x 2 x 2 x 3 x 67

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

LCM = 10336224 = 2 x 2 x 2 x 2 x 2 x 3 x 67 x 1607

Step 4: Therefore, the least common multiple of 6428 and 6432 is 10336224.