Least Common Multiple of 7551 and 7559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7551 and 7559 the smallest integer that is 57078009 that is divisible by both numbers.

Least Common Multiple (LCM) of 7551 and 7559 is 57078009.

LCM(7551,7559) = 57078009

LCM of 7551 and 7559

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

LCM of:
and

Least Common Multiple of 7551 and 7559

LCM of 7551 and 7559 is 57078009

Least common multiple can be found by multiplying the highest exponent prime factors of 7551 and 7559. First we will calculate the prime factors of 7551 and 7559.

Prime Factorization of 7551


3 7551
3 2517
839 839
1

Prime factors of 7551 are 3,839. Prime factorization of 7551 in exponential form is:

7551 = 32×8391

Prime Factorization of 7559


7559 7559
1

Prime factors of 7559 are 7559. Prime factorization of 7559 in exponential form is:

7559 = 75591

Now multiplying the highest exponent prime factors to calculate the LCM of 7551 and 7559.

LCM(7551,7559) = 32×8391×75591
LCM(7551,7559) = 57078009

Factors of 7551

List of positive integer factors of 7551 that divides 7551 without a remainder.

1, 3, 9, 839, 2517, 7551

Factors of 7559

List of positive integer factors of 7559 that divides 7559 without a remainder.

1, 7559

Least Common Multiple of 7551 and 7559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7551 and 7559, than apply into the LCM equation.

GCF(7551,7559) = 1
LCM(7551,7559) = ( 7551 × 7559) / 1
LCM(7551,7559) = 57078009 / 1
LCM(7551,7559) = 57078009

Properties of LCM 7551 and 7559

(i) The LCM of 7559 and 7551 is associative

LCM of 7551 and 7559 = LCM of 7559 and 7551

Related Least Common Multiples of 7551

Related Least Common Multiples of 7559

Frequently Asked Questions on LCM of 7551 and 7559

1. What is the LCM of 7551 and 7559?

Answer: LCM of 7551 and 7559 is 57078009.

2. What are the Factors of 7551?

Answer: Factors of 7551 are 1, 3, 9, 839, 2517, 7551. There are 6 integers that are factors of 7551. The greatest factor of 7551 is 7551.

3. What are the Factors of 7559?

Answer: Factors of 7559 are 1, 7559. There are 2 integers that are factors of 7559. The greatest factor of 7559 is 7559.

4. How to Find the LCM of 7551 and 7559?

Answer:

Least Common Multiple of 7551 and 7559 = 57078009

Step 1: Find the prime factorization of 7551

7551 = 3 x 3 x 839

Step 2: Find the prime factorization of 7559

7559 = 7559

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

LCM = 57078009 = 3 x 3 x 839 x 7559

Step 4: Therefore, the least common multiple of 7551 and 7559 is 57078009.