Least Common Multiple of 554 and 555

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 555 the smallest integer that is 307470 that is divisible by both numbers.

Least Common Multiple (LCM) of 554 and 555 is 307470.

LCM(554,555) = 307470

LCM of 554 and 555

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

LCM of:
and

Least Common Multiple of 554 and 555

LCM of 554 and 555 is 307470

Least common multiple can be found by multiplying the highest exponent prime factors of 554 and 555. First we will calculate the prime factors of 554 and 555.

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 555


3 555
5 185
37 37
1

Prime factors of 555 are 3, 5,37. Prime factorization of 555 in exponential form is:

555 = 31×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 554 and 555.

LCM(554,555) = 21×31×51×371×2771
LCM(554,555) = 307470

Factors of 554

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

1, 2, 277, 554

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Least Common Multiple of 554 and 555 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 555, than apply into the LCM equation.

GCF(554,555) = 1
LCM(554,555) = ( 554 × 555) / 1
LCM(554,555) = 307470 / 1
LCM(554,555) = 307470

Properties of LCM 554 and 555

(i) The LCM of 555 and 554 is associative

LCM of 554 and 555 = LCM of 555 and 554

Related Least Common Multiples of 554

Related Least Common Multiples of 555

Frequently Asked Questions on LCM of 554 and 555

1. What is the LCM of 554 and 555?

Answer: LCM of 554 and 555 is 307470.

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 555?

Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.

4. How to Find the LCM of 554 and 555?

Answer:

Least Common Multiple of 554 and 555 = 307470

Step 1: Find the prime factorization of 554

554 = 2 x 277

Step 2: Find the prime factorization of 555

555 = 3 x 5 x 37

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

LCM = 307470 = 2 x 3 x 5 x 37 x 277

Step 4: Therefore, the least common multiple of 554 and 555 is 307470.