Least Common Multiple of 6538 and 6546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6538 and 6546 the smallest integer that is 21398874 that is divisible by both numbers.

Least Common Multiple (LCM) of 6538 and 6546 is 21398874.

LCM(6538,6546) = 21398874

LCM of 6538 and 6546

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

LCM of:
and

Least Common Multiple of 6538 and 6546

LCM of 6538 and 6546 is 21398874

Least common multiple can be found by multiplying the highest exponent prime factors of 6538 and 6546. First we will calculate the prime factors of 6538 and 6546.

Prime Factorization of 6538


2 6538
7 3269
467 467
1

Prime factors of 6538 are 2, 7,467. Prime factorization of 6538 in exponential form is:

6538 = 21×71×4671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6538 and 6546.

LCM(6538,6546) = 21×31×71×4671×10911
LCM(6538,6546) = 21398874

Factors of 6538

List of positive integer factors of 6538 that divides 6538 without a remainder.

1, 2, 7, 14, 467, 934, 3269, 6538

Factors of 6546

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

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

Least Common Multiple of 6538 and 6546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6538 and 6546, than apply into the LCM equation.

GCF(6538,6546) = 2
LCM(6538,6546) = ( 6538 × 6546) / 2
LCM(6538,6546) = 42797748 / 2
LCM(6538,6546) = 21398874

Properties of LCM 6538 and 6546

(i) The LCM of 6546 and 6538 is associative

LCM of 6538 and 6546 = LCM of 6546 and 6538

Related Least Common Multiples of 6538

Related Least Common Multiples of 6546

Frequently Asked Questions on LCM of 6538 and 6546

1. What is the LCM of 6538 and 6546?

Answer: LCM of 6538 and 6546 is 21398874.

2. What are the Factors of 6538?

Answer: Factors of 6538 are 1, 2, 7, 14, 467, 934, 3269, 6538. There are 8 integers that are factors of 6538. The greatest factor of 6538 is 6538.

3. 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.

4. How to Find the LCM of 6538 and 6546?

Answer:

Least Common Multiple of 6538 and 6546 = 21398874

Step 1: Find the prime factorization of 6538

6538 = 2 x 7 x 467

Step 2: Find the prime factorization of 6546

6546 = 2 x 3 x 1091

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

LCM = 21398874 = 2 x 3 x 7 x 467 x 1091

Step 4: Therefore, the least common multiple of 6538 and 6546 is 21398874.