Least Common Multiple of 6425 and 6432

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 6432 the smallest integer that is 41325600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6425 and 6432 is 41325600.

LCM(6425,6432) = 41325600

LCM of 6425 and 6432

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

LCM of:
and

Least Common Multiple of 6425 and 6432

LCM of 6425 and 6432 is 41325600

Least common multiple can be found by multiplying the highest exponent prime factors of 6425 and 6432. First we will calculate the prime factors of 6425 and 6432.

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 6432


2 6432
2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 6432 are 2, 3,67. Prime factorization of 6432 in exponential form is:

6432 = 25×31×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6425 and 6432.

LCM(6425,6432) = 25×31×52×671×2571
LCM(6425,6432) = 41325600

Factors of 6425

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

1, 5, 25, 257, 1285, 6425

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432

Least Common Multiple of 6425 and 6432 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 6432, than apply into the LCM equation.

GCF(6425,6432) = 1
LCM(6425,6432) = ( 6425 × 6432) / 1
LCM(6425,6432) = 41325600 / 1
LCM(6425,6432) = 41325600

Properties of LCM 6425 and 6432

(i) The LCM of 6432 and 6425 is associative

LCM of 6425 and 6432 = LCM of 6432 and 6425

Related Least Common Multiples of 6425

Related Least Common Multiples of 6432

Frequently Asked Questions on LCM of 6425 and 6432

1. What is the LCM of 6425 and 6432?

Answer: LCM of 6425 and 6432 is 41325600.

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 6432?

Answer: Factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432. There are 24 integers that are factors of 6432. The greatest factor of 6432 is 6432.

4. How to Find the LCM of 6425 and 6432?

Answer:

Least Common Multiple of 6425 and 6432 = 41325600

Step 1: Find the prime factorization of 6425

6425 = 5 x 5 x 257

Step 2: Find the prime factorization of 6432

6432 = 2 x 2 x 2 x 2 x 2 x 3 x 67

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

LCM = 41325600 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 67 x 257

Step 4: Therefore, the least common multiple of 6425 and 6432 is 41325600.