Least Common Multiple of 5515 and 5523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5515 and 5523 the smallest integer that is 30459345 that is divisible by both numbers.

Least Common Multiple (LCM) of 5515 and 5523 is 30459345.

LCM(5515,5523) = 30459345

LCM of 5515 and 5523

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

LCM of:
and

Least Common Multiple of 5515 and 5523

LCM of 5515 and 5523 is 30459345

Least common multiple can be found by multiplying the highest exponent prime factors of 5515 and 5523. First we will calculate the prime factors of 5515 and 5523.

Prime Factorization of 5515


5 5515
1103 1103
1

Prime factors of 5515 are 5,1103. Prime factorization of 5515 in exponential form is:

5515 = 51×11031

Prime Factorization of 5523


3 5523
7 1841
263 263
1

Prime factors of 5523 are 3, 7,263. Prime factorization of 5523 in exponential form is:

5523 = 31×71×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 5515 and 5523.

LCM(5515,5523) = 31×51×71×2631×11031
LCM(5515,5523) = 30459345

Factors of 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1, 5, 1103, 5515

Factors of 5523

List of positive integer factors of 5523 that divides 5523 without a remainder.

1, 3, 7, 21, 263, 789, 1841, 5523

Least Common Multiple of 5515 and 5523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5515 and 5523, than apply into the LCM equation.

GCF(5515,5523) = 1
LCM(5515,5523) = ( 5515 × 5523) / 1
LCM(5515,5523) = 30459345 / 1
LCM(5515,5523) = 30459345

Properties of LCM 5515 and 5523

(i) The LCM of 5523 and 5515 is associative

LCM of 5515 and 5523 = LCM of 5523 and 5515

Related Least Common Multiples of 5515

Related Least Common Multiples of 5523

Frequently Asked Questions on LCM of 5515 and 5523

1. What is the LCM of 5515 and 5523?

Answer: LCM of 5515 and 5523 is 30459345.

2. What are the Factors of 5515?

Answer: Factors of 5515 are 1, 5, 1103, 5515. There are 4 integers that are factors of 5515. The greatest factor of 5515 is 5515.

3. What are the Factors of 5523?

Answer: Factors of 5523 are 1, 3, 7, 21, 263, 789, 1841, 5523. There are 8 integers that are factors of 5523. The greatest factor of 5523 is 5523.

4. How to Find the LCM of 5515 and 5523?

Answer:

Least Common Multiple of 5515 and 5523 = 30459345

Step 1: Find the prime factorization of 5515

5515 = 5 x 1103

Step 2: Find the prime factorization of 5523

5523 = 3 x 7 x 263

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

LCM = 30459345 = 3 x 5 x 7 x 263 x 1103

Step 4: Therefore, the least common multiple of 5515 and 5523 is 30459345.