Least Common Multiple of 8551 and 8552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 8551 and 8552 the smallest integer that is 73128152 that is divisible by both numbers.

Least Common Multiple (LCM) of 8551 and 8552 is 73128152.

LCM(8551,8552) = 73128152

LCM of 8551 and 8552

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

LCM of:
and

Least Common Multiple of 8551 and 8552

LCM of 8551 and 8552 is 73128152

Least common multiple can be found by multiplying the highest exponent prime factors of 8551 and 8552. First we will calculate the prime factors of 8551 and 8552.

Prime Factorization of 8551


17 8551
503 503
1

Prime factors of 8551 are 17,503. Prime factorization of 8551 in exponential form is:

8551 = 171×5031

Prime Factorization of 8552


2 8552
2 4276
2 2138
1069 1069
1

Prime factors of 8552 are 2,1069. Prime factorization of 8552 in exponential form is:

8552 = 23×10691

Now multiplying the highest exponent prime factors to calculate the LCM of 8551 and 8552.

LCM(8551,8552) = 23×171×5031×10691
LCM(8551,8552) = 73128152

Factors of 8551

List of positive integer factors of 8551 that divides 8551 without a remainder.

1, 17, 503, 8551

Factors of 8552

List of positive integer factors of 8552 that divides 8552 without a remainder.

1, 2, 4, 8, 1069, 2138, 4276, 8552

Least Common Multiple of 8551 and 8552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8551 and 8552, than apply into the LCM equation.

GCF(8551,8552) = 1
LCM(8551,8552) = ( 8551 × 8552) / 1
LCM(8551,8552) = 73128152 / 1
LCM(8551,8552) = 73128152

Properties of LCM 8551 and 8552

(i) The LCM of 8552 and 8551 is associative

LCM of 8551 and 8552 = LCM of 8552 and 8551

Frequently Asked Questions on LCM of 8551 and 8552

1. What is the LCM of 8551 and 8552?

Answer: LCM of 8551 and 8552 is 73128152.

2. What are the Factors of 8551?

Answer: Factors of 8551 are 1, 17, 503, 8551. There are 4 integers that are factors of 8551. The greatest factor of 8551 is 8551.

3. What are the Factors of 8552?

Answer: Factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552. There are 8 integers that are factors of 8552. The greatest factor of 8552 is 8552.

4. How to Find the LCM of 8551 and 8552?

Answer:

Least Common Multiple of 8551 and 8552 = 73128152

Step 1: Find the prime factorization of 8551

8551 = 17 x 503

Step 2: Find the prime factorization of 8552

8552 = 2 x 2 x 2 x 1069

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

LCM = 73128152 = 2 x 2 x 2 x 17 x 503 x 1069

Step 4: Therefore, the least common multiple of 8551 and 8552 is 73128152.