Least Common Multiple of 6416 and 6423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6416 and 6423 the smallest integer that is 41209968 that is divisible by both numbers.

Least Common Multiple (LCM) of 6416 and 6423 is 41209968.

LCM(6416,6423) = 41209968

LCM of 6416 and 6423

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

LCM of:
and

Least Common Multiple of 6416 and 6423

LCM of 6416 and 6423 is 41209968

Least common multiple can be found by multiplying the highest exponent prime factors of 6416 and 6423. First we will calculate the prime factors of 6416 and 6423.

Prime Factorization of 6416


2 6416
2 3208
2 1604
2 802
401 401
1

Prime factors of 6416 are 2,401. Prime factorization of 6416 in exponential form is:

6416 = 24×4011

Prime Factorization of 6423


3 6423
2141 2141
1

Prime factors of 6423 are 3,2141. Prime factorization of 6423 in exponential form is:

6423 = 31×21411

Now multiplying the highest exponent prime factors to calculate the LCM of 6416 and 6423.

LCM(6416,6423) = 24×31×4011×21411
LCM(6416,6423) = 41209968

Factors of 6416

List of positive integer factors of 6416 that divides 6416 without a remainder.

1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416

Factors of 6423

List of positive integer factors of 6423 that divides 6423 without a remainder.

1, 3, 2141, 6423

Least Common Multiple of 6416 and 6423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6416 and 6423, than apply into the LCM equation.

GCF(6416,6423) = 1
LCM(6416,6423) = ( 6416 × 6423) / 1
LCM(6416,6423) = 41209968 / 1
LCM(6416,6423) = 41209968

Properties of LCM 6416 and 6423

(i) The LCM of 6423 and 6416 is associative

LCM of 6416 and 6423 = LCM of 6423 and 6416

Related Least Common Multiples of 6416

Related Least Common Multiples of 6423

Frequently Asked Questions on LCM of 6416 and 6423

1. What is the LCM of 6416 and 6423?

Answer: LCM of 6416 and 6423 is 41209968.

2. What are the Factors of 6416?

Answer: Factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416. There are 10 integers that are factors of 6416. The greatest factor of 6416 is 6416.

3. What are the Factors of 6423?

Answer: Factors of 6423 are 1, 3, 2141, 6423. There are 4 integers that are factors of 6423. The greatest factor of 6423 is 6423.

4. How to Find the LCM of 6416 and 6423?

Answer:

Least Common Multiple of 6416 and 6423 = 41209968

Step 1: Find the prime factorization of 6416

6416 = 2 x 2 x 2 x 2 x 401

Step 2: Find the prime factorization of 6423

6423 = 3 x 2141

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

LCM = 41209968 = 2 x 2 x 2 x 2 x 3 x 401 x 2141

Step 4: Therefore, the least common multiple of 6416 and 6423 is 41209968.