Least Common Multiple of 554 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 554 and 557 the smallest integer that is 308578 that is divisible by both numbers.

Least Common Multiple (LCM) of 554 and 557 is 308578.

LCM(554,557) = 308578

LCM of 554 and 557

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

LCM of:
and

Least Common Multiple of 554 and 557

LCM of 554 and 557 is 308578

Least common multiple can be found by multiplying the highest exponent prime factors of 554 and 557. First we will calculate the prime factors of 554 and 557.

Prime Factorization of 554


2 554
277 277
1

Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:

554 = 21×2771

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 554 and 557.

LCM(554,557) = 21×2771×5571
LCM(554,557) = 308578

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Factors of 557

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

1, 557

Least Common Multiple of 554 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 554 and 557, than apply into the LCM equation.

GCF(554,557) = 1
LCM(554,557) = ( 554 × 557) / 1
LCM(554,557) = 308578 / 1
LCM(554,557) = 308578

Properties of LCM 554 and 557

(i) The LCM of 557 and 554 is associative

LCM of 554 and 557 = LCM of 557 and 554

Related Least Common Multiples of 554

Related Least Common Multiples of 557

Frequently Asked Questions on LCM of 554 and 557

1. What is the LCM of 554 and 557?

Answer: LCM of 554 and 557 is 308578.

2. What are the Factors of 554?

Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.

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 554 and 557?

Answer:

Least Common Multiple of 554 and 557 = 308578

Step 1: Find the prime factorization of 554

554 = 2 x 277

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 = 308578 = 2 x 277 x 557

Step 4: Therefore, the least common multiple of 554 and 557 is 308578.