Least Common Multiple of 6501 and 6502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6501 and 6502 the smallest integer that is 42269502 that is divisible by both numbers.

Least Common Multiple (LCM) of 6501 and 6502 is 42269502.

LCM(6501,6502) = 42269502

LCM of 6501 and 6502

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

LCM of:
and

Least Common Multiple of 6501 and 6502

LCM of 6501 and 6502 is 42269502

Least common multiple can be found by multiplying the highest exponent prime factors of 6501 and 6502. First we will calculate the prime factors of 6501 and 6502.

Prime Factorization of 6501


3 6501
11 2167
197 197
1

Prime factors of 6501 are 3, 11,197. Prime factorization of 6501 in exponential form is:

6501 = 31×111×1971

Prime Factorization of 6502


2 6502
3251 3251
1

Prime factors of 6502 are 2,3251. Prime factorization of 6502 in exponential form is:

6502 = 21×32511

Now multiplying the highest exponent prime factors to calculate the LCM of 6501 and 6502.

LCM(6501,6502) = 21×31×111×1971×32511
LCM(6501,6502) = 42269502

Factors of 6501

List of positive integer factors of 6501 that divides 6501 without a remainder.

1, 3, 11, 33, 197, 591, 2167, 6501

Factors of 6502

List of positive integer factors of 6502 that divides 6502 without a remainder.

1, 2, 3251, 6502

Least Common Multiple of 6501 and 6502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6501 and 6502, than apply into the LCM equation.

GCF(6501,6502) = 1
LCM(6501,6502) = ( 6501 × 6502) / 1
LCM(6501,6502) = 42269502 / 1
LCM(6501,6502) = 42269502

Properties of LCM 6501 and 6502

(i) The LCM of 6502 and 6501 is associative

LCM of 6501 and 6502 = LCM of 6502 and 6501

Related Least Common Multiples of 6501

Related Least Common Multiples of 6502

Frequently Asked Questions on LCM of 6501 and 6502

1. What is the LCM of 6501 and 6502?

Answer: LCM of 6501 and 6502 is 42269502.

2. What are the Factors of 6501?

Answer: Factors of 6501 are 1, 3, 11, 33, 197, 591, 2167, 6501. There are 8 integers that are factors of 6501. The greatest factor of 6501 is 6501.

3. What are the Factors of 6502?

Answer: Factors of 6502 are 1, 2, 3251, 6502. There are 4 integers that are factors of 6502. The greatest factor of 6502 is 6502.

4. How to Find the LCM of 6501 and 6502?

Answer:

Least Common Multiple of 6501 and 6502 = 42269502

Step 1: Find the prime factorization of 6501

6501 = 3 x 11 x 197

Step 2: Find the prime factorization of 6502

6502 = 2 x 3251

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

LCM = 42269502 = 2 x 3 x 11 x 197 x 3251

Step 4: Therefore, the least common multiple of 6501 and 6502 is 42269502.