Least Common Multiple of 6499 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 6499 and 6502 the smallest integer that is 42256498 that is divisible by both numbers.

Least Common Multiple (LCM) of 6499 and 6502 is 42256498.

LCM(6499,6502) = 42256498

LCM of 6499 and 6502

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

LCM of:
and

Least Common Multiple of 6499 and 6502

LCM of 6499 and 6502 is 42256498

Least common multiple can be found by multiplying the highest exponent prime factors of 6499 and 6502. First we will calculate the prime factors of 6499 and 6502.

Prime Factorization of 6499


67 6499
97 97
1

Prime factors of 6499 are 67,97. Prime factorization of 6499 in exponential form is:

6499 = 671×971

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 6499 and 6502.

LCM(6499,6502) = 21×671×971×32511
LCM(6499,6502) = 42256498

Factors of 6499

List of positive integer factors of 6499 that divides 6499 without a remainder.

1, 67, 97, 6499

Factors of 6502

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

1, 2, 3251, 6502

Least Common Multiple of 6499 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 6499 and 6502, than apply into the LCM equation.

GCF(6499,6502) = 1
LCM(6499,6502) = ( 6499 × 6502) / 1
LCM(6499,6502) = 42256498 / 1
LCM(6499,6502) = 42256498

Properties of LCM 6499 and 6502

(i) The LCM of 6502 and 6499 is associative

LCM of 6499 and 6502 = LCM of 6502 and 6499

Related Least Common Multiples of 6499

Related Least Common Multiples of 6502

Frequently Asked Questions on LCM of 6499 and 6502

1. What is the LCM of 6499 and 6502?

Answer: LCM of 6499 and 6502 is 42256498.

2. What are the Factors of 6499?

Answer: Factors of 6499 are 1, 67, 97, 6499. There are 4 integers that are factors of 6499. The greatest factor of 6499 is 6499.

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 6499 and 6502?

Answer:

Least Common Multiple of 6499 and 6502 = 42256498

Step 1: Find the prime factorization of 6499

6499 = 67 x 97

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 = 42256498 = 2 x 67 x 97 x 3251

Step 4: Therefore, the least common multiple of 6499 and 6502 is 42256498.