Least Common Multiple of 6516 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 6516 and 6522 the smallest integer that is 7082892 that is divisible by both numbers.

Least Common Multiple (LCM) of 6516 and 6522 is 7082892.

LCM(6516,6522) = 7082892

LCM of 6516 and 6522

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

LCM of:
and

Least Common Multiple of 6516 and 6522

LCM of 6516 and 6522 is 7082892

Least common multiple can be found by multiplying the highest exponent prime factors of 6516 and 6522. First we will calculate the prime factors of 6516 and 6522.

Prime Factorization of 6516


2 6516
2 3258
3 1629
3 543
181 181
1

Prime factors of 6516 are 2, 3,181. Prime factorization of 6516 in exponential form is:

6516 = 22×32×1811

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 6516 and 6522.

LCM(6516,6522) = 22×32×1811×10871
LCM(6516,6522) = 7082892

Factors of 6516

List of positive integer factors of 6516 that divides 6516 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516

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 6516 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 6516 and 6522, than apply into the LCM equation.

GCF(6516,6522) = 6
LCM(6516,6522) = ( 6516 × 6522) / 6
LCM(6516,6522) = 42497352 / 6
LCM(6516,6522) = 7082892

Properties of LCM 6516 and 6522

(i) The LCM of 6522 and 6516 is associative

LCM of 6516 and 6522 = LCM of 6522 and 6516

Related Least Common Multiples of 6516

Related Least Common Multiples of 6522

Frequently Asked Questions on LCM of 6516 and 6522

1. What is the LCM of 6516 and 6522?

Answer: LCM of 6516 and 6522 is 7082892.

2. What are the Factors of 6516?

Answer: Factors of 6516 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 181, 362, 543, 724, 1086, 1629, 2172, 3258, 6516. There are 18 integers that are factors of 6516. The greatest factor of 6516 is 6516.

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 6516 and 6522?

Answer:

Least Common Multiple of 6516 and 6522 = 7082892

Step 1: Find the prime factorization of 6516

6516 = 2 x 2 x 3 x 3 x 181

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 = 7082892 = 2 x 2 x 3 x 3 x 181 x 1087

Step 4: Therefore, the least common multiple of 6516 and 6522 is 7082892.