Least Common Multiple of 6427 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 6427 and 6432 the smallest integer that is 41338464 that is divisible by both numbers.

Least Common Multiple (LCM) of 6427 and 6432 is 41338464.

LCM(6427,6432) = 41338464

LCM of 6427 and 6432

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

LCM of:
and

Least Common Multiple of 6427 and 6432

LCM of 6427 and 6432 is 41338464

Least common multiple can be found by multiplying the highest exponent prime factors of 6427 and 6432. First we will calculate the prime factors of 6427 and 6432.

Prime Factorization of 6427


6427 6427
1

Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:

6427 = 64271

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 6427 and 6432.

LCM(6427,6432) = 25×31×671×64271
LCM(6427,6432) = 41338464

Factors of 6427

List of positive integer factors of 6427 that divides 6427 without a remainder.

1, 6427

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 6427 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 6427 and 6432, than apply into the LCM equation.

GCF(6427,6432) = 1
LCM(6427,6432) = ( 6427 × 6432) / 1
LCM(6427,6432) = 41338464 / 1
LCM(6427,6432) = 41338464

Properties of LCM 6427 and 6432

(i) The LCM of 6432 and 6427 is associative

LCM of 6427 and 6432 = LCM of 6432 and 6427

Related Least Common Multiples of 6427

Related Least Common Multiples of 6432

Frequently Asked Questions on LCM of 6427 and 6432

1. What is the LCM of 6427 and 6432?

Answer: LCM of 6427 and 6432 is 41338464.

2. What are the Factors of 6427?

Answer: Factors of 6427 are 1, 6427. There are 2 integers that are factors of 6427. The greatest factor of 6427 is 6427.

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 6427 and 6432?

Answer:

Least Common Multiple of 6427 and 6432 = 41338464

Step 1: Find the prime factorization of 6427

6427 = 6427

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 = 41338464 = 2 x 2 x 2 x 2 x 2 x 3 x 67 x 6427

Step 4: Therefore, the least common multiple of 6427 and 6432 is 41338464.