Least Common Multiple of 5531 and 5537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5531 and 5537 the smallest integer that is 30625147 that is divisible by both numbers.

Least Common Multiple (LCM) of 5531 and 5537 is 30625147.

LCM(5531,5537) = 30625147

LCM of 5531 and 5537

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

LCM of:
and

Least Common Multiple of 5531 and 5537

LCM of 5531 and 5537 is 30625147

Least common multiple can be found by multiplying the highest exponent prime factors of 5531 and 5537. First we will calculate the prime factors of 5531 and 5537.

Prime Factorization of 5531


5531 5531
1

Prime factors of 5531 are 5531. Prime factorization of 5531 in exponential form is:

5531 = 55311

Prime Factorization of 5537


7 5537
7 791
113 113
1

Prime factors of 5537 are 7,113. Prime factorization of 5537 in exponential form is:

5537 = 72×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5531 and 5537.

LCM(5531,5537) = 72×1131×55311
LCM(5531,5537) = 30625147

Factors of 5531

List of positive integer factors of 5531 that divides 5531 without a remainder.

1, 5531

Factors of 5537

List of positive integer factors of 5537 that divides 5537 without a remainder.

1, 7, 49, 113, 791, 5537

Least Common Multiple of 5531 and 5537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5531 and 5537, than apply into the LCM equation.

GCF(5531,5537) = 1
LCM(5531,5537) = ( 5531 × 5537) / 1
LCM(5531,5537) = 30625147 / 1
LCM(5531,5537) = 30625147

Properties of LCM 5531 and 5537

(i) The LCM of 5537 and 5531 is associative

LCM of 5531 and 5537 = LCM of 5537 and 5531

Related Least Common Multiples of 5531

Related Least Common Multiples of 5537

Frequently Asked Questions on LCM of 5531 and 5537

1. What is the LCM of 5531 and 5537?

Answer: LCM of 5531 and 5537 is 30625147.

2. What are the Factors of 5531?

Answer: Factors of 5531 are 1, 5531. There are 2 integers that are factors of 5531. The greatest factor of 5531 is 5531.

3. What are the Factors of 5537?

Answer: Factors of 5537 are 1, 7, 49, 113, 791, 5537. There are 6 integers that are factors of 5537. The greatest factor of 5537 is 5537.

4. How to Find the LCM of 5531 and 5537?

Answer:

Least Common Multiple of 5531 and 5537 = 30625147

Step 1: Find the prime factorization of 5531

5531 = 5531

Step 2: Find the prime factorization of 5537

5537 = 7 x 7 x 113

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

LCM = 30625147 = 7 x 7 x 113 x 5531

Step 4: Therefore, the least common multiple of 5531 and 5537 is 30625147.