Least Common Multiple of 551 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 551 and 557 the smallest integer that is 306907 that is divisible by both numbers.

Least Common Multiple (LCM) of 551 and 557 is 306907.

LCM(551,557) = 306907

LCM of 551 and 557

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

LCM of:
and

Least Common Multiple of 551 and 557

LCM of 551 and 557 is 306907

Least common multiple can be found by multiplying the highest exponent prime factors of 551 and 557. First we will calculate the prime factors of 551 and 557.

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 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 551 and 557.

LCM(551,557) = 191×291×5571
LCM(551,557) = 306907

Factors of 551

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

1, 19, 29, 551

Factors of 557

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

1, 557

Least Common Multiple of 551 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 551 and 557, than apply into the LCM equation.

GCF(551,557) = 1
LCM(551,557) = ( 551 × 557) / 1
LCM(551,557) = 306907 / 1
LCM(551,557) = 306907

Properties of LCM 551 and 557

(i) The LCM of 557 and 551 is associative

LCM of 551 and 557 = LCM of 557 and 551

Related Least Common Multiples of 551

Related Least Common Multiples of 557

Frequently Asked Questions on LCM of 551 and 557

1. What is the LCM of 551 and 557?

Answer: LCM of 551 and 557 is 306907.

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 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 551 and 557?

Answer:

Least Common Multiple of 551 and 557 = 306907

Step 1: Find the prime factorization of 551

551 = 19 x 29

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 = 306907 = 19 x 29 x 557

Step 4: Therefore, the least common multiple of 551 and 557 is 306907.