Least Common Multiple of 5551 and 5552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5551 and 5552 the smallest integer that is 30819152 that is divisible by both numbers.

Least Common Multiple (LCM) of 5551 and 5552 is 30819152.

LCM(5551,5552) = 30819152

LCM of 5551 and 5552

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

LCM of:
and

Least Common Multiple of 5551 and 5552

LCM of 5551 and 5552 is 30819152

Least common multiple can be found by multiplying the highest exponent prime factors of 5551 and 5552. First we will calculate the prime factors of 5551 and 5552.

Prime Factorization of 5551


7 5551
13 793
61 61
1

Prime factors of 5551 are 7, 13,61. Prime factorization of 5551 in exponential form is:

5551 = 71×131×611

Prime Factorization of 5552


2 5552
2 2776
2 1388
2 694
347 347
1

Prime factors of 5552 are 2,347. Prime factorization of 5552 in exponential form is:

5552 = 24×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 5551 and 5552.

LCM(5551,5552) = 24×71×131×611×3471
LCM(5551,5552) = 30819152

Factors of 5551

List of positive integer factors of 5551 that divides 5551 without a remainder.

1, 7, 13, 61, 91, 427, 793, 5551

Factors of 5552

List of positive integer factors of 5552 that divides 5552 without a remainder.

1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552

Least Common Multiple of 5551 and 5552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5551 and 5552, than apply into the LCM equation.

GCF(5551,5552) = 1
LCM(5551,5552) = ( 5551 × 5552) / 1
LCM(5551,5552) = 30819152 / 1
LCM(5551,5552) = 30819152

Properties of LCM 5551 and 5552

(i) The LCM of 5552 and 5551 is associative

LCM of 5551 and 5552 = LCM of 5552 and 5551

Related Least Common Multiples of 5551

Related Least Common Multiples of 5552

Frequently Asked Questions on LCM of 5551 and 5552

1. What is the LCM of 5551 and 5552?

Answer: LCM of 5551 and 5552 is 30819152.

2. What are the Factors of 5551?

Answer: Factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551. There are 8 integers that are factors of 5551. The greatest factor of 5551 is 5551.

3. What are the Factors of 5552?

Answer: Factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552. There are 10 integers that are factors of 5552. The greatest factor of 5552 is 5552.

4. How to Find the LCM of 5551 and 5552?

Answer:

Least Common Multiple of 5551 and 5552 = 30819152

Step 1: Find the prime factorization of 5551

5551 = 7 x 13 x 61

Step 2: Find the prime factorization of 5552

5552 = 2 x 2 x 2 x 2 x 347

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

LCM = 30819152 = 2 x 2 x 2 x 2 x 7 x 13 x 61 x 347

Step 4: Therefore, the least common multiple of 5551 and 5552 is 30819152.