Least Common Multiple of 551 and 552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 551 and 552 the smallest integer that is 304152 that is divisible by both numbers.

Least Common Multiple (LCM) of 551 and 552 is 304152.

LCM(551,552) = 304152

LCM of 551 and 552

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

LCM of:
and

Least Common Multiple of 551 and 552

LCM of 551 and 552 is 304152

Least common multiple can be found by multiplying the highest exponent prime factors of 551 and 552. First we will calculate the prime factors of 551 and 552.

Prime Factorization of 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

Prime Factorization of 552


2 552
2 276
2 138
3 69
23 23
1

Prime factors of 552 are 2, 3,23. Prime factorization of 552 in exponential form is:

552 = 23×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 551 and 552.

LCM(551,552) = 23×31×191×231×291
LCM(551,552) = 304152

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Least Common Multiple of 551 and 552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 551 and 552, than apply into the LCM equation.

GCF(551,552) = 1
LCM(551,552) = ( 551 × 552) / 1
LCM(551,552) = 304152 / 1
LCM(551,552) = 304152

Properties of LCM 551 and 552

(i) The LCM of 552 and 551 is associative

LCM of 551 and 552 = LCM of 552 and 551

Related Least Common Multiples of 551

Related Least Common Multiples of 552

Frequently Asked Questions on LCM of 551 and 552

1. What is the LCM of 551 and 552?

Answer: LCM of 551 and 552 is 304152.

2. What are the Factors of 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

3. What are the Factors of 552?

Answer: Factors of 552 are 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552. There are 16 integers that are factors of 552. The greatest factor of 552 is 552.

4. How to Find the LCM of 551 and 552?

Answer:

Least Common Multiple of 551 and 552 = 304152

Step 1: Find the prime factorization of 551

551 = 19 x 29

Step 2: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

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

LCM = 304152 = 2 x 2 x 2 x 3 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 551 and 552 is 304152.