Least Common Multiple of 6514 and 6522

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 6522 the smallest integer that is 21242154 that is divisible by both numbers.

Least Common Multiple (LCM) of 6514 and 6522 is 21242154.

LCM(6514,6522) = 21242154

LCM of 6514 and 6522

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

LCM of:
and

Least Common Multiple of 6514 and 6522

LCM of 6514 and 6522 is 21242154

Least common multiple can be found by multiplying the highest exponent prime factors of 6514 and 6522. First we will calculate the prime factors of 6514 and 6522.

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 6522


2 6522
3 3261
1087 1087
1

Prime factors of 6522 are 2, 3,1087. Prime factorization of 6522 in exponential form is:

6522 = 21×31×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 6514 and 6522.

LCM(6514,6522) = 21×31×10871×32571
LCM(6514,6522) = 21242154

Factors of 6514

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

1, 2, 3257, 6514

Factors of 6522

List of positive integer factors of 6522 that divides 6522 without a remainder.

1, 2, 3, 6, 1087, 2174, 3261, 6522

Least Common Multiple of 6514 and 6522 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 6522, than apply into the LCM equation.

GCF(6514,6522) = 2
LCM(6514,6522) = ( 6514 × 6522) / 2
LCM(6514,6522) = 42484308 / 2
LCM(6514,6522) = 21242154

Properties of LCM 6514 and 6522

(i) The LCM of 6522 and 6514 is associative

LCM of 6514 and 6522 = LCM of 6522 and 6514

Related Least Common Multiples of 6514

Related Least Common Multiples of 6522

Frequently Asked Questions on LCM of 6514 and 6522

1. What is the LCM of 6514 and 6522?

Answer: LCM of 6514 and 6522 is 21242154.

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 6522?

Answer: Factors of 6522 are 1, 2, 3, 6, 1087, 2174, 3261, 6522. There are 8 integers that are factors of 6522. The greatest factor of 6522 is 6522.

4. How to Find the LCM of 6514 and 6522?

Answer:

Least Common Multiple of 6514 and 6522 = 21242154

Step 1: Find the prime factorization of 6514

6514 = 2 x 3257

Step 2: Find the prime factorization of 6522

6522 = 2 x 3 x 1087

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

LCM = 21242154 = 2 x 3 x 1087 x 3257

Step 4: Therefore, the least common multiple of 6514 and 6522 is 21242154.