Least Common Multiple of 7550 and 7554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7550 and 7554 the smallest integer that is 28516350 that is divisible by both numbers.

Least Common Multiple (LCM) of 7550 and 7554 is 28516350.

LCM(7550,7554) = 28516350

LCM of 7550 and 7554

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

LCM of:
and

Least Common Multiple of 7550 and 7554

LCM of 7550 and 7554 is 28516350

Least common multiple can be found by multiplying the highest exponent prime factors of 7550 and 7554. First we will calculate the prime factors of 7550 and 7554.

Prime Factorization of 7550


2 7550
5 3775
5 755
151 151
1

Prime factors of 7550 are 2, 5,151. Prime factorization of 7550 in exponential form is:

7550 = 21×52×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7550 and 7554.

LCM(7550,7554) = 21×31×52×1511×12591
LCM(7550,7554) = 28516350

Factors of 7550

List of positive integer factors of 7550 that divides 7550 without a remainder.

1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550

Factors of 7554

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

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

Least Common Multiple of 7550 and 7554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7550 and 7554, than apply into the LCM equation.

GCF(7550,7554) = 2
LCM(7550,7554) = ( 7550 × 7554) / 2
LCM(7550,7554) = 57032700 / 2
LCM(7550,7554) = 28516350

Properties of LCM 7550 and 7554

(i) The LCM of 7554 and 7550 is associative

LCM of 7550 and 7554 = LCM of 7554 and 7550

Related Least Common Multiples of 7550

Related Least Common Multiples of 7554

Frequently Asked Questions on LCM of 7550 and 7554

1. What is the LCM of 7550 and 7554?

Answer: LCM of 7550 and 7554 is 28516350.

2. What are the Factors of 7550?

Answer: Factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550. There are 12 integers that are factors of 7550. The greatest factor of 7550 is 7550.

3. 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.

4. How to Find the LCM of 7550 and 7554?

Answer:

Least Common Multiple of 7550 and 7554 = 28516350

Step 1: Find the prime factorization of 7550

7550 = 2 x 5 x 5 x 151

Step 2: Find the prime factorization of 7554

7554 = 2 x 3 x 1259

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

LCM = 28516350 = 2 x 3 x 5 x 5 x 151 x 1259

Step 4: Therefore, the least common multiple of 7550 and 7554 is 28516350.