Least Common Multiple of 6542 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 6542 and 6546 the smallest integer that is 21411966 that is divisible by both numbers.

Least Common Multiple (LCM) of 6542 and 6546 is 21411966.

LCM(6542,6546) = 21411966

LCM of 6542 and 6546

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

LCM of:
and

Least Common Multiple of 6542 and 6546

LCM of 6542 and 6546 is 21411966

Least common multiple can be found by multiplying the highest exponent prime factors of 6542 and 6546. First we will calculate the prime factors of 6542 and 6546.

Prime Factorization of 6542


2 6542
3271 3271
1

Prime factors of 6542 are 2,3271. Prime factorization of 6542 in exponential form is:

6542 = 21×32711

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 6542 and 6546.

LCM(6542,6546) = 21×31×10911×32711
LCM(6542,6546) = 21411966

Factors of 6542

List of positive integer factors of 6542 that divides 6542 without a remainder.

1, 2, 3271, 6542

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 6542 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 6542 and 6546, than apply into the LCM equation.

GCF(6542,6546) = 2
LCM(6542,6546) = ( 6542 × 6546) / 2
LCM(6542,6546) = 42823932 / 2
LCM(6542,6546) = 21411966

Properties of LCM 6542 and 6546

(i) The LCM of 6546 and 6542 is associative

LCM of 6542 and 6546 = LCM of 6546 and 6542

Related Least Common Multiples of 6542

Related Least Common Multiples of 6546

Frequently Asked Questions on LCM of 6542 and 6546

1. What is the LCM of 6542 and 6546?

Answer: LCM of 6542 and 6546 is 21411966.

2. What are the Factors of 6542?

Answer: Factors of 6542 are 1, 2, 3271, 6542. There are 4 integers that are factors of 6542. The greatest factor of 6542 is 6542.

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 6542 and 6546?

Answer:

Least Common Multiple of 6542 and 6546 = 21411966

Step 1: Find the prime factorization of 6542

6542 = 2 x 3271

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 = 21411966 = 2 x 3 x 1091 x 3271

Step 4: Therefore, the least common multiple of 6542 and 6546 is 21411966.