Least Common Multiple of 552 and 557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 552 and 557 the smallest integer that is 307464 that is divisible by both numbers.

Least Common Multiple (LCM) of 552 and 557 is 307464.

LCM(552,557) = 307464

LCM of 552 and 557

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

LCM of:
and

Least Common Multiple of 552 and 557

LCM of 552 and 557 is 307464

Least common multiple can be found by multiplying the highest exponent prime factors of 552 and 557. First we will calculate the prime factors of 552 and 557.

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

Prime Factorization of 557


557 557
1

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 552 and 557.

LCM(552,557) = 23×31×231×5571
LCM(552,557) = 307464

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

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1, 557

Least Common Multiple of 552 and 557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 552 and 557, than apply into the LCM equation.

GCF(552,557) = 1
LCM(552,557) = ( 552 × 557) / 1
LCM(552,557) = 307464 / 1
LCM(552,557) = 307464

Properties of LCM 552 and 557

(i) The LCM of 557 and 552 is associative

LCM of 552 and 557 = LCM of 557 and 552

Related Least Common Multiples of 552

Related Least Common Multiples of 557

Frequently Asked Questions on LCM of 552 and 557

1. What is the LCM of 552 and 557?

Answer: LCM of 552 and 557 is 307464.

2. 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.

3. What are the Factors of 557?

Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.

4. How to Find the LCM of 552 and 557?

Answer:

Least Common Multiple of 552 and 557 = 307464

Step 1: Find the prime factorization of 552

552 = 2 x 2 x 2 x 3 x 23

Step 2: Find the prime factorization of 557

557 = 557

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

LCM = 307464 = 2 x 2 x 2 x 3 x 23 x 557

Step 4: Therefore, the least common multiple of 552 and 557 is 307464.