Least Common Multiple of 5516 and 5522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5516 and 5522 the smallest integer that is 15229676 that is divisible by both numbers.

Least Common Multiple (LCM) of 5516 and 5522 is 15229676.

LCM(5516,5522) = 15229676

LCM of 5516 and 5522

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

LCM of:
and

Least Common Multiple of 5516 and 5522

LCM of 5516 and 5522 is 15229676

Least common multiple can be found by multiplying the highest exponent prime factors of 5516 and 5522. First we will calculate the prime factors of 5516 and 5522.

Prime Factorization of 5516


2 5516
2 2758
7 1379
197 197
1

Prime factors of 5516 are 2, 7,197. Prime factorization of 5516 in exponential form is:

5516 = 22×71×1971

Prime Factorization of 5522


2 5522
11 2761
251 251
1

Prime factors of 5522 are 2, 11,251. Prime factorization of 5522 in exponential form is:

5522 = 21×111×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 5516 and 5522.

LCM(5516,5522) = 22×71×111×1971×2511
LCM(5516,5522) = 15229676

Factors of 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516

Factors of 5522

List of positive integer factors of 5522 that divides 5522 without a remainder.

1, 2, 11, 22, 251, 502, 2761, 5522

Least Common Multiple of 5516 and 5522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5516 and 5522, than apply into the LCM equation.

GCF(5516,5522) = 2
LCM(5516,5522) = ( 5516 × 5522) / 2
LCM(5516,5522) = 30459352 / 2
LCM(5516,5522) = 15229676

Properties of LCM 5516 and 5522

(i) The LCM of 5522 and 5516 is associative

LCM of 5516 and 5522 = LCM of 5522 and 5516

Related Least Common Multiples of 5516

Related Least Common Multiples of 5522

Frequently Asked Questions on LCM of 5516 and 5522

1. What is the LCM of 5516 and 5522?

Answer: LCM of 5516 and 5522 is 15229676.

2. What are the Factors of 5516?

Answer: Factors of 5516 are 1, 2, 4, 7, 14, 28, 197, 394, 788, 1379, 2758, 5516. There are 12 integers that are factors of 5516. The greatest factor of 5516 is 5516.

3. What are the Factors of 5522?

Answer: Factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522. There are 8 integers that are factors of 5522. The greatest factor of 5522 is 5522.

4. How to Find the LCM of 5516 and 5522?

Answer:

Least Common Multiple of 5516 and 5522 = 15229676

Step 1: Find the prime factorization of 5516

5516 = 2 x 2 x 7 x 197

Step 2: Find the prime factorization of 5522

5522 = 2 x 11 x 251

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

LCM = 15229676 = 2 x 2 x 7 x 11 x 197 x 251

Step 4: Therefore, the least common multiple of 5516 and 5522 is 15229676.