Least Common Multiple of 7554 and 7558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7554 and 7558 the smallest integer that is 28546566 that is divisible by both numbers.

Least Common Multiple (LCM) of 7554 and 7558 is 28546566.

LCM(7554,7558) = 28546566

LCM of 7554 and 7558

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

LCM of:
and

Least Common Multiple of 7554 and 7558

LCM of 7554 and 7558 is 28546566

Least common multiple can be found by multiplying the highest exponent prime factors of 7554 and 7558. First we will calculate the prime factors of 7554 and 7558.

Prime Factorization of 7554


2 7554
3 3777
1259 1259
1

Prime factors of 7554 are 2, 3,1259. Prime factorization of 7554 in exponential form is:

7554 = 21×31×12591

Prime Factorization of 7558


2 7558
3779 3779
1

Prime factors of 7558 are 2,3779. Prime factorization of 7558 in exponential form is:

7558 = 21×37791

Now multiplying the highest exponent prime factors to calculate the LCM of 7554 and 7558.

LCM(7554,7558) = 21×31×12591×37791
LCM(7554,7558) = 28546566

Factors of 7554

List of positive integer factors of 7554 that divides 7554 without a remainder.

1, 2, 3, 6, 1259, 2518, 3777, 7554

Factors of 7558

List of positive integer factors of 7558 that divides 7558 without a remainder.

1, 2, 3779, 7558

Least Common Multiple of 7554 and 7558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7554 and 7558, than apply into the LCM equation.

GCF(7554,7558) = 2
LCM(7554,7558) = ( 7554 × 7558) / 2
LCM(7554,7558) = 57093132 / 2
LCM(7554,7558) = 28546566

Properties of LCM 7554 and 7558

(i) The LCM of 7558 and 7554 is associative

LCM of 7554 and 7558 = LCM of 7558 and 7554

Related Least Common Multiples of 7554

Related Least Common Multiples of 7558

Frequently Asked Questions on LCM of 7554 and 7558

1. What is the LCM of 7554 and 7558?

Answer: LCM of 7554 and 7558 is 28546566.

2. What are the Factors of 7554?

Answer: Factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554. There are 8 integers that are factors of 7554. The greatest factor of 7554 is 7554.

3. What are the Factors of 7558?

Answer: Factors of 7558 are 1, 2, 3779, 7558. There are 4 integers that are factors of 7558. The greatest factor of 7558 is 7558.

4. How to Find the LCM of 7554 and 7558?

Answer:

Least Common Multiple of 7554 and 7558 = 28546566

Step 1: Find the prime factorization of 7554

7554 = 2 x 3 x 1259

Step 2: Find the prime factorization of 7558

7558 = 2 x 3779

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

LCM = 28546566 = 2 x 3 x 1259 x 3779

Step 4: Therefore, the least common multiple of 7554 and 7558 is 28546566.