Least Common Multiple of 6424 and 6425

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 6425 the smallest integer that is 41274200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6424 and 6425 is 41274200.

LCM(6424,6425) = 41274200

LCM of 6424 and 6425

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

LCM of:
and

Least Common Multiple of 6424 and 6425

LCM of 6424 and 6425 is 41274200

Least common multiple can be found by multiplying the highest exponent prime factors of 6424 and 6425. First we will calculate the prime factors of 6424 and 6425.

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 6425


5 6425
5 1285
257 257
1

Prime factors of 6425 are 5,257. Prime factorization of 6425 in exponential form is:

6425 = 52×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 6424 and 6425.

LCM(6424,6425) = 23×52×111×731×2571
LCM(6424,6425) = 41274200

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 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1, 5, 25, 257, 1285, 6425

Least Common Multiple of 6424 and 6425 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 6425, than apply into the LCM equation.

GCF(6424,6425) = 1
LCM(6424,6425) = ( 6424 × 6425) / 1
LCM(6424,6425) = 41274200 / 1
LCM(6424,6425) = 41274200

Properties of LCM 6424 and 6425

(i) The LCM of 6425 and 6424 is associative

LCM of 6424 and 6425 = LCM of 6425 and 6424

Related Least Common Multiples of 6424

Related Least Common Multiples of 6425

Frequently Asked Questions on LCM of 6424 and 6425

1. What is the LCM of 6424 and 6425?

Answer: LCM of 6424 and 6425 is 41274200.

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 6425?

Answer: Factors of 6425 are 1, 5, 25, 257, 1285, 6425. There are 6 integers that are factors of 6425. The greatest factor of 6425 is 6425.

4. How to Find the LCM of 6424 and 6425?

Answer:

Least Common Multiple of 6424 and 6425 = 41274200

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 6425

6425 = 5 x 5 x 257

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

LCM = 41274200 = 2 x 2 x 2 x 5 x 5 x 11 x 73 x 257

Step 4: Therefore, the least common multiple of 6424 and 6425 is 41274200.