Least Common Multiple of 5526 and 5532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5526 and 5532 the smallest integer that is 5094972 that is divisible by both numbers.

Least Common Multiple (LCM) of 5526 and 5532 is 5094972.

LCM(5526,5532) = 5094972

LCM of 5526 and 5532

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

LCM of:
and

Least Common Multiple of 5526 and 5532

LCM of 5526 and 5532 is 5094972

Least common multiple can be found by multiplying the highest exponent prime factors of 5526 and 5532. First we will calculate the prime factors of 5526 and 5532.

Prime Factorization of 5526


2 5526
3 2763
3 921
307 307
1

Prime factors of 5526 are 2, 3,307. Prime factorization of 5526 in exponential form is:

5526 = 21×32×3071

Prime Factorization of 5532


2 5532
2 2766
3 1383
461 461
1

Prime factors of 5532 are 2, 3,461. Prime factorization of 5532 in exponential form is:

5532 = 22×31×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 5526 and 5532.

LCM(5526,5532) = 22×32×3071×4611
LCM(5526,5532) = 5094972

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526

Factors of 5532

List of positive integer factors of 5532 that divides 5532 without a remainder.

1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532

Least Common Multiple of 5526 and 5532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5526 and 5532, than apply into the LCM equation.

GCF(5526,5532) = 6
LCM(5526,5532) = ( 5526 × 5532) / 6
LCM(5526,5532) = 30569832 / 6
LCM(5526,5532) = 5094972

Properties of LCM 5526 and 5532

(i) The LCM of 5532 and 5526 is associative

LCM of 5526 and 5532 = LCM of 5532 and 5526

Related Least Common Multiples of 5526

Related Least Common Multiples of 5532

Frequently Asked Questions on LCM of 5526 and 5532

1. What is the LCM of 5526 and 5532?

Answer: LCM of 5526 and 5532 is 5094972.

2. What are the Factors of 5526?

Answer: Factors of 5526 are 1, 2, 3, 6, 9, 18, 307, 614, 921, 1842, 2763, 5526. There are 12 integers that are factors of 5526. The greatest factor of 5526 is 5526.

3. What are the Factors of 5532?

Answer: Factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532. There are 12 integers that are factors of 5532. The greatest factor of 5532 is 5532.

4. How to Find the LCM of 5526 and 5532?

Answer:

Least Common Multiple of 5526 and 5532 = 5094972

Step 1: Find the prime factorization of 5526

5526 = 2 x 3 x 3 x 307

Step 2: Find the prime factorization of 5532

5532 = 2 x 2 x 3 x 461

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

LCM = 5094972 = 2 x 2 x 3 x 3 x 307 x 461

Step 4: Therefore, the least common multiple of 5526 and 5532 is 5094972.