Least Common Multiple of 6514 and 6521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6514 and 6521 the smallest integer that is 42477794 that is divisible by both numbers.

Least Common Multiple (LCM) of 6514 and 6521 is 42477794.

LCM(6514,6521) = 42477794

LCM of 6514 and 6521

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

LCM of:
and

Least Common Multiple of 6514 and 6521

LCM of 6514 and 6521 is 42477794

Least common multiple can be found by multiplying the highest exponent prime factors of 6514 and 6521. First we will calculate the prime factors of 6514 and 6521.

Prime Factorization of 6514


2 6514
3257 3257
1

Prime factors of 6514 are 2,3257. Prime factorization of 6514 in exponential form is:

6514 = 21×32571

Prime Factorization of 6521


6521 6521
1

Prime factors of 6521 are 6521. Prime factorization of 6521 in exponential form is:

6521 = 65211

Now multiplying the highest exponent prime factors to calculate the LCM of 6514 and 6521.

LCM(6514,6521) = 21×32571×65211
LCM(6514,6521) = 42477794

Factors of 6514

List of positive integer factors of 6514 that divides 6514 without a remainder.

1, 2, 3257, 6514

Factors of 6521

List of positive integer factors of 6521 that divides 6521 without a remainder.

1, 6521

Least Common Multiple of 6514 and 6521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6514 and 6521, than apply into the LCM equation.

GCF(6514,6521) = 1
LCM(6514,6521) = ( 6514 × 6521) / 1
LCM(6514,6521) = 42477794 / 1
LCM(6514,6521) = 42477794

Properties of LCM 6514 and 6521

(i) The LCM of 6521 and 6514 is associative

LCM of 6514 and 6521 = LCM of 6521 and 6514

Related Least Common Multiples of 6514

Related Least Common Multiples of 6521

Frequently Asked Questions on LCM of 6514 and 6521

1. What is the LCM of 6514 and 6521?

Answer: LCM of 6514 and 6521 is 42477794.

2. What are the Factors of 6514?

Answer: Factors of 6514 are 1, 2, 3257, 6514. There are 4 integers that are factors of 6514. The greatest factor of 6514 is 6514.

3. What are the Factors of 6521?

Answer: Factors of 6521 are 1, 6521. There are 2 integers that are factors of 6521. The greatest factor of 6521 is 6521.

4. How to Find the LCM of 6514 and 6521?

Answer:

Least Common Multiple of 6514 and 6521 = 42477794

Step 1: Find the prime factorization of 6514

6514 = 2 x 3257

Step 2: Find the prime factorization of 6521

6521 = 6521

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

LCM = 42477794 = 2 x 3257 x 6521

Step 4: Therefore, the least common multiple of 6514 and 6521 is 42477794.