Least Common Multiple of 6546 and 6550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6546 and 6550 the smallest integer that is 21438150 that is divisible by both numbers.

Least Common Multiple (LCM) of 6546 and 6550 is 21438150.

LCM(6546,6550) = 21438150

LCM of 6546 and 6550

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

LCM of:
and

Least Common Multiple of 6546 and 6550

LCM of 6546 and 6550 is 21438150

Least common multiple can be found by multiplying the highest exponent prime factors of 6546 and 6550. First we will calculate the prime factors of 6546 and 6550.

Prime Factorization of 6546


2 6546
3 3273
1091 1091
1

Prime factors of 6546 are 2, 3,1091. Prime factorization of 6546 in exponential form is:

6546 = 21×31×10911

Prime Factorization of 6550


2 6550
5 3275
5 655
131 131
1

Prime factors of 6550 are 2, 5,131. Prime factorization of 6550 in exponential form is:

6550 = 21×52×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6546 and 6550.

LCM(6546,6550) = 21×31×52×1311×10911
LCM(6546,6550) = 21438150

Factors of 6546

List of positive integer factors of 6546 that divides 6546 without a remainder.

1, 2, 3, 6, 1091, 2182, 3273, 6546

Factors of 6550

List of positive integer factors of 6550 that divides 6550 without a remainder.

1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550

Least Common Multiple of 6546 and 6550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6546 and 6550, than apply into the LCM equation.

GCF(6546,6550) = 2
LCM(6546,6550) = ( 6546 × 6550) / 2
LCM(6546,6550) = 42876300 / 2
LCM(6546,6550) = 21438150

Properties of LCM 6546 and 6550

(i) The LCM of 6550 and 6546 is associative

LCM of 6546 and 6550 = LCM of 6550 and 6546

Related Least Common Multiples of 6546

Related Least Common Multiples of 6550

Frequently Asked Questions on LCM of 6546 and 6550

1. What is the LCM of 6546 and 6550?

Answer: LCM of 6546 and 6550 is 21438150.

2. What are the Factors of 6546?

Answer: Factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546. There are 8 integers that are factors of 6546. The greatest factor of 6546 is 6546.

3. What are the Factors of 6550?

Answer: Factors of 6550 are 1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275, 6550. There are 12 integers that are factors of 6550. The greatest factor of 6550 is 6550.

4. How to Find the LCM of 6546 and 6550?

Answer:

Least Common Multiple of 6546 and 6550 = 21438150

Step 1: Find the prime factorization of 6546

6546 = 2 x 3 x 1091

Step 2: Find the prime factorization of 6550

6550 = 2 x 5 x 5 x 131

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

LCM = 21438150 = 2 x 3 x 5 x 5 x 131 x 1091

Step 4: Therefore, the least common multiple of 6546 and 6550 is 21438150.