Least Common Multiple of 5557 and 5562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5557 and 5562 the smallest integer that is 30908034 that is divisible by both numbers.

Least Common Multiple (LCM) of 5557 and 5562 is 30908034.

LCM(5557,5562) = 30908034

LCM of 5557 and 5562

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

LCM of:
and

Least Common Multiple of 5557 and 5562

LCM of 5557 and 5562 is 30908034

Least common multiple can be found by multiplying the highest exponent prime factors of 5557 and 5562. First we will calculate the prime factors of 5557 and 5562.

Prime Factorization of 5557


5557 5557
1

Prime factors of 5557 are 5557. Prime factorization of 5557 in exponential form is:

5557 = 55571

Prime Factorization of 5562


2 5562
3 2781
3 927
3 309
103 103
1

Prime factors of 5562 are 2, 3,103. Prime factorization of 5562 in exponential form is:

5562 = 21×33×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 5557 and 5562.

LCM(5557,5562) = 21×33×1031×55571
LCM(5557,5562) = 30908034

Factors of 5557

List of positive integer factors of 5557 that divides 5557 without a remainder.

1, 5557

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562

Least Common Multiple of 5557 and 5562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5557 and 5562, than apply into the LCM equation.

GCF(5557,5562) = 1
LCM(5557,5562) = ( 5557 × 5562) / 1
LCM(5557,5562) = 30908034 / 1
LCM(5557,5562) = 30908034

Properties of LCM 5557 and 5562

(i) The LCM of 5562 and 5557 is associative

LCM of 5557 and 5562 = LCM of 5562 and 5557

Related Least Common Multiples of 5557

Related Least Common Multiples of 5562

Frequently Asked Questions on LCM of 5557 and 5562

1. What is the LCM of 5557 and 5562?

Answer: LCM of 5557 and 5562 is 30908034.

2. What are the Factors of 5557?

Answer: Factors of 5557 are 1, 5557. There are 2 integers that are factors of 5557. The greatest factor of 5557 is 5557.

3. What are the Factors of 5562?

Answer: Factors of 5562 are 1, 2, 3, 6, 9, 18, 27, 54, 103, 206, 309, 618, 927, 1854, 2781, 5562. There are 16 integers that are factors of 5562. The greatest factor of 5562 is 5562.

4. How to Find the LCM of 5557 and 5562?

Answer:

Least Common Multiple of 5557 and 5562 = 30908034

Step 1: Find the prime factorization of 5557

5557 = 5557

Step 2: Find the prime factorization of 5562

5562 = 2 x 3 x 3 x 3 x 103

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

LCM = 30908034 = 2 x 3 x 3 x 3 x 103 x 5557

Step 4: Therefore, the least common multiple of 5557 and 5562 is 30908034.