Least Common Multiple of 6417 and 6424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6417 and 6424 the smallest integer that is 41222808 that is divisible by both numbers.

Least Common Multiple (LCM) of 6417 and 6424 is 41222808.

LCM(6417,6424) = 41222808

LCM of 6417 and 6424

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

LCM of:
and

Least Common Multiple of 6417 and 6424

LCM of 6417 and 6424 is 41222808

Least common multiple can be found by multiplying the highest exponent prime factors of 6417 and 6424. First we will calculate the prime factors of 6417 and 6424.

Prime Factorization of 6417


3 6417
3 2139
23 713
31 31
1

Prime factors of 6417 are 3, 23,31. Prime factorization of 6417 in exponential form is:

6417 = 32×231×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6417 and 6424.

LCM(6417,6424) = 23×32×111×231×311×731
LCM(6417,6424) = 41222808

Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417

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

Least Common Multiple of 6417 and 6424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6417 and 6424, than apply into the LCM equation.

GCF(6417,6424) = 1
LCM(6417,6424) = ( 6417 × 6424) / 1
LCM(6417,6424) = 41222808 / 1
LCM(6417,6424) = 41222808

Properties of LCM 6417 and 6424

(i) The LCM of 6424 and 6417 is associative

LCM of 6417 and 6424 = LCM of 6424 and 6417

Related Least Common Multiples of 6417

Related Least Common Multiples of 6424

Frequently Asked Questions on LCM of 6417 and 6424

1. What is the LCM of 6417 and 6424?

Answer: LCM of 6417 and 6424 is 41222808.

2. What are the Factors of 6417?

Answer: Factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417. There are 12 integers that are factors of 6417. The greatest factor of 6417 is 6417.

3. 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.

4. How to Find the LCM of 6417 and 6424?

Answer:

Least Common Multiple of 6417 and 6424 = 41222808

Step 1: Find the prime factorization of 6417

6417 = 3 x 3 x 23 x 31

Step 2: Find the prime factorization of 6424

6424 = 2 x 2 x 2 x 11 x 73

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

LCM = 41222808 = 2 x 2 x 2 x 3 x 3 x 11 x 23 x 31 x 73

Step 4: Therefore, the least common multiple of 6417 and 6424 is 41222808.