Least Common Multiple of 6424 and 6427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6424 and 6427 the smallest integer that is 41287048 that is divisible by both numbers.

Least Common Multiple (LCM) of 6424 and 6427 is 41287048.

LCM(6424,6427) = 41287048

LCM of 6424 and 6427

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

LCM of:
and

Least Common Multiple of 6424 and 6427

LCM of 6424 and 6427 is 41287048

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6427. First we will calculate the prime factors of 6424 and 6427.

Prime Factorization of 6424


2 6424
2 3212
2 1606
11 803
73 73
1

Prime factors of 6424 are 2, 11,73. Prime factorization of 6424 in exponential form is:

6424 = 23×111×731

Prime Factorization of 6427


6427 6427
1

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

6427 = 64271

Now multiplying the highest exponent prime factors to calculate the LCM of 6424 and 6427.

LCM(6424,6427) = 23×111×731×64271
LCM(6424,6427) = 41287048

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424

Factors of 6427

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

1, 6427

Least Common Multiple of 6424 and 6427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6424 and 6427, than apply into the LCM equation.

GCF(6424,6427) = 1
LCM(6424,6427) = ( 6424 × 6427) / 1
LCM(6424,6427) = 41287048 / 1
LCM(6424,6427) = 41287048

Properties of LCM 6424 and 6427

(i) The LCM of 6427 and 6424 is associative

LCM of 6424 and 6427 = LCM of 6427 and 6424

Related Least Common Multiples of 6424

Related Least Common Multiples of 6427

Frequently Asked Questions on LCM of 6424 and 6427

1. What is the LCM of 6424 and 6427?

Answer: LCM of 6424 and 6427 is 41287048.

2. What are the Factors of 6424?

Answer: Factors of 6424 are 1, 2, 4, 8, 11, 22, 44, 73, 88, 146, 292, 584, 803, 1606, 3212, 6424. There are 16 integers that are factors of 6424. The greatest factor of 6424 is 6424.

3. 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.

4. How to Find the LCM of 6424 and 6427?

Answer:

Least Common Multiple of 6424 and 6427 = 41287048

Step 1: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

Step 2: Find the prime factorization of 6427

6427 = 6427

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

LCM = 41287048 = 2 x 2 x 2 x 11 x 73 x 6427

Step 4: Therefore, the least common multiple of 6424 and 6427 is 41287048.