Least Common Multiple of 6425 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 6425 and 6427 the smallest integer that is 41293475 that is divisible by both numbers.

Least Common Multiple (LCM) of 6425 and 6427 is 41293475.

LCM(6425,6427) = 41293475

LCM of 6425 and 6427

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

LCM of:
and

Least Common Multiple of 6425 and 6427

LCM of 6425 and 6427 is 41293475

Least common multiple can be found by multiplying the highest exponent prime factors of 6425 and 6427. First we will calculate the prime factors of 6425 and 6427.

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

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 6425 and 6427.

LCM(6425,6427) = 52×2571×64271
LCM(6425,6427) = 41293475

Factors of 6425

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

1, 5, 25, 257, 1285, 6425

Factors of 6427

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

1, 6427

Least Common Multiple of 6425 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 6425 and 6427, than apply into the LCM equation.

GCF(6425,6427) = 1
LCM(6425,6427) = ( 6425 × 6427) / 1
LCM(6425,6427) = 41293475 / 1
LCM(6425,6427) = 41293475

Properties of LCM 6425 and 6427

(i) The LCM of 6427 and 6425 is associative

LCM of 6425 and 6427 = LCM of 6427 and 6425

Frequently Asked Questions on LCM of 6425 and 6427

1. What is the LCM of 6425 and 6427?

Answer: LCM of 6425 and 6427 is 41293475.

2. 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.

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 6425 and 6427?

Answer:

Least Common Multiple of 6425 and 6427 = 41293475

Step 1: Find the prime factorization of 6425

6425 = 5 x 5 x 257

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 = 41293475 = 5 x 5 x 257 x 6427

Step 4: Therefore, the least common multiple of 6425 and 6427 is 41293475.