Least Common Multiple of 6515 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 6515 and 6522 the smallest integer that is 42490830 that is divisible by both numbers.

Least Common Multiple (LCM) of 6515 and 6522 is 42490830.

LCM(6515,6522) = 42490830

LCM of 6515 and 6522

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

LCM of:
and

Least Common Multiple of 6515 and 6522

LCM of 6515 and 6522 is 42490830

Least common multiple can be found by multiplying the highest exponent prime factors of 6515 and 6522. First we will calculate the prime factors of 6515 and 6522.

Prime Factorization of 6515


5 6515
1303 1303
1

Prime factors of 6515 are 5,1303. Prime factorization of 6515 in exponential form is:

6515 = 51×13031

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 6515 and 6522.

LCM(6515,6522) = 21×31×51×10871×13031
LCM(6515,6522) = 42490830

Factors of 6515

List of positive integer factors of 6515 that divides 6515 without a remainder.

1, 5, 1303, 6515

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 6515 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 6515 and 6522, than apply into the LCM equation.

GCF(6515,6522) = 1
LCM(6515,6522) = ( 6515 × 6522) / 1
LCM(6515,6522) = 42490830 / 1
LCM(6515,6522) = 42490830

Properties of LCM 6515 and 6522

(i) The LCM of 6522 and 6515 is associative

LCM of 6515 and 6522 = LCM of 6522 and 6515

Related Least Common Multiples of 6515

Related Least Common Multiples of 6522

Frequently Asked Questions on LCM of 6515 and 6522

1. What is the LCM of 6515 and 6522?

Answer: LCM of 6515 and 6522 is 42490830.

2. What are the Factors of 6515?

Answer: Factors of 6515 are 1, 5, 1303, 6515. There are 4 integers that are factors of 6515. The greatest factor of 6515 is 6515.

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 6515 and 6522?

Answer:

Least Common Multiple of 6515 and 6522 = 42490830

Step 1: Find the prime factorization of 6515

6515 = 5 x 1303

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 = 42490830 = 2 x 3 x 5 x 1087 x 1303

Step 4: Therefore, the least common multiple of 6515 and 6522 is 42490830.