Least Common Multiple of 7550 and 7555

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 7555 the smallest integer that is 11408050 that is divisible by both numbers.

Least Common Multiple (LCM) of 7550 and 7555 is 11408050.

LCM(7550,7555) = 11408050

LCM of 7550 and 7555

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

LCM of:
and

Least Common Multiple of 7550 and 7555

LCM of 7550 and 7555 is 11408050

Least common multiple can be found by multiplying the highest exponent prime factors of 7550 and 7555. First we will calculate the prime factors of 7550 and 7555.

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 7555


5 7555
1511 1511
1

Prime factors of 7555 are 5,1511. Prime factorization of 7555 in exponential form is:

7555 = 51×15111

Now multiplying the highest exponent prime factors to calculate the LCM of 7550 and 7555.

LCM(7550,7555) = 21×52×1511×15111
LCM(7550,7555) = 11408050

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 7555

List of positive integer factors of 7555 that divides 7555 without a remainder.

1, 5, 1511, 7555

Least Common Multiple of 7550 and 7555 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 7555, than apply into the LCM equation.

GCF(7550,7555) = 5
LCM(7550,7555) = ( 7550 × 7555) / 5
LCM(7550,7555) = 57040250 / 5
LCM(7550,7555) = 11408050

Properties of LCM 7550 and 7555

(i) The LCM of 7555 and 7550 is associative

LCM of 7550 and 7555 = LCM of 7555 and 7550

Related Least Common Multiples of 7550

Related Least Common Multiples of 7555

Frequently Asked Questions on LCM of 7550 and 7555

1. What is the LCM of 7550 and 7555?

Answer: LCM of 7550 and 7555 is 11408050.

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 7555?

Answer: Factors of 7555 are 1, 5, 1511, 7555. There are 4 integers that are factors of 7555. The greatest factor of 7555 is 7555.

4. How to Find the LCM of 7550 and 7555?

Answer:

Least Common Multiple of 7550 and 7555 = 11408050

Step 1: Find the prime factorization of 7550

7550 = 2 x 5 x 5 x 151

Step 2: Find the prime factorization of 7555

7555 = 5 x 1511

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

LCM = 11408050 = 2 x 5 x 5 x 151 x 1511

Step 4: Therefore, the least common multiple of 7550 and 7555 is 11408050.