Least Common Multiple of 5520 and 5527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5520 and 5527 the smallest integer that is 30509040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5520 and 5527 is 30509040.

LCM(5520,5527) = 30509040

LCM of 5520 and 5527

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

LCM of:
and

Least Common Multiple of 5520 and 5527

LCM of 5520 and 5527 is 30509040

Least common multiple can be found by multiplying the highest exponent prime factors of 5520 and 5527. First we will calculate the prime factors of 5520 and 5527.

Prime Factorization of 5520


2 5520
2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 5520 are 2, 3, 5,23. Prime factorization of 5520 in exponential form is:

5520 = 24×31×51×231

Prime Factorization of 5527


5527 5527
1

Prime factors of 5527 are 5527. Prime factorization of 5527 in exponential form is:

5527 = 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 5520 and 5527.

LCM(5520,5527) = 24×31×51×231×55271
LCM(5520,5527) = 30509040

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520

Factors of 5527

List of positive integer factors of 5527 that divides 5527 without a remainder.

1, 5527

Least Common Multiple of 5520 and 5527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5520 and 5527, than apply into the LCM equation.

GCF(5520,5527) = 1
LCM(5520,5527) = ( 5520 × 5527) / 1
LCM(5520,5527) = 30509040 / 1
LCM(5520,5527) = 30509040

Properties of LCM 5520 and 5527

(i) The LCM of 5527 and 5520 is associative

LCM of 5520 and 5527 = LCM of 5527 and 5520

Related Least Common Multiples of 5520

Related Least Common Multiples of 5527

Frequently Asked Questions on LCM of 5520 and 5527

1. What is the LCM of 5520 and 5527?

Answer: LCM of 5520 and 5527 is 30509040.

2. What are the Factors of 5520?

Answer: Factors of 5520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520. There are 40 integers that are factors of 5520. The greatest factor of 5520 is 5520.

3. What are the Factors of 5527?

Answer: Factors of 5527 are 1, 5527. There are 2 integers that are factors of 5527. The greatest factor of 5527 is 5527.

4. How to Find the LCM of 5520 and 5527?

Answer:

Least Common Multiple of 5520 and 5527 = 30509040

Step 1: Find the prime factorization of 5520

5520 = 2 x 2 x 2 x 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 5527

5527 = 5527

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

LCM = 30509040 = 2 x 2 x 2 x 2 x 3 x 5 x 23 x 5527

Step 4: Therefore, the least common multiple of 5520 and 5527 is 30509040.