Least Common Multiple of 6484 and 6492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6484 and 6492 the smallest integer that is 10523532 that is divisible by both numbers.

Least Common Multiple (LCM) of 6484 and 6492 is 10523532.

LCM(6484,6492) = 10523532

LCM of 6484 and 6492

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

LCM of:
and

Least Common Multiple of 6484 and 6492

LCM of 6484 and 6492 is 10523532

Least common multiple can be found by multiplying the highest exponent prime factors of 6484 and 6492. First we will calculate the prime factors of 6484 and 6492.

Prime Factorization of 6484


2 6484
2 3242
1621 1621
1

Prime factors of 6484 are 2,1621. Prime factorization of 6484 in exponential form is:

6484 = 22×16211

Prime Factorization of 6492


2 6492
2 3246
3 1623
541 541
1

Prime factors of 6492 are 2, 3,541. Prime factorization of 6492 in exponential form is:

6492 = 22×31×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 6484 and 6492.

LCM(6484,6492) = 22×31×5411×16211
LCM(6484,6492) = 10523532

Factors of 6484

List of positive integer factors of 6484 that divides 6484 without a remainder.

1, 2, 4, 1621, 3242, 6484

Factors of 6492

List of positive integer factors of 6492 that divides 6492 without a remainder.

1, 2, 3, 4, 6, 12, 541, 1082, 1623, 2164, 3246, 6492

Least Common Multiple of 6484 and 6492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6484 and 6492, than apply into the LCM equation.

GCF(6484,6492) = 4
LCM(6484,6492) = ( 6484 × 6492) / 4
LCM(6484,6492) = 42094128 / 4
LCM(6484,6492) = 10523532

Properties of LCM 6484 and 6492

(i) The LCM of 6492 and 6484 is associative

LCM of 6484 and 6492 = LCM of 6492 and 6484

Related Least Common Multiples of 6484

Related Least Common Multiples of 6492

Frequently Asked Questions on LCM of 6484 and 6492

1. What is the LCM of 6484 and 6492?

Answer: LCM of 6484 and 6492 is 10523532.

2. What are the Factors of 6484?

Answer: Factors of 6484 are 1, 2, 4, 1621, 3242, 6484. There are 6 integers that are factors of 6484. The greatest factor of 6484 is 6484.

3. What are the Factors of 6492?

Answer: Factors of 6492 are 1, 2, 3, 4, 6, 12, 541, 1082, 1623, 2164, 3246, 6492. There are 12 integers that are factors of 6492. The greatest factor of 6492 is 6492.

4. How to Find the LCM of 6484 and 6492?

Answer:

Least Common Multiple of 6484 and 6492 = 10523532

Step 1: Find the prime factorization of 6484

6484 = 2 x 2 x 1621

Step 2: Find the prime factorization of 6492

6492 = 2 x 2 x 3 x 541

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

LCM = 10523532 = 2 x 2 x 3 x 541 x 1621

Step 4: Therefore, the least common multiple of 6484 and 6492 is 10523532.