Least Common Multiple of 7550 and 7557

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 7557 the smallest integer that is 57055350 that is divisible by both numbers.

Least Common Multiple (LCM) of 7550 and 7557 is 57055350.

LCM(7550,7557) = 57055350

LCM of 7550 and 7557

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

LCM of:
and

Least Common Multiple of 7550 and 7557

LCM of 7550 and 7557 is 57055350

Least common multiple can be found by multiplying the highest exponent prime factors of 7550 and 7557. First we will calculate the prime factors of 7550 and 7557.

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 7557


3 7557
11 2519
229 229
1

Prime factors of 7557 are 3, 11,229. Prime factorization of 7557 in exponential form is:

7557 = 31×111×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7550 and 7557.

LCM(7550,7557) = 21×31×52×111×1511×2291
LCM(7550,7557) = 57055350

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 7557

List of positive integer factors of 7557 that divides 7557 without a remainder.

1, 3, 11, 33, 229, 687, 2519, 7557

Least Common Multiple of 7550 and 7557 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 7557, than apply into the LCM equation.

GCF(7550,7557) = 1
LCM(7550,7557) = ( 7550 × 7557) / 1
LCM(7550,7557) = 57055350 / 1
LCM(7550,7557) = 57055350

Properties of LCM 7550 and 7557

(i) The LCM of 7557 and 7550 is associative

LCM of 7550 and 7557 = LCM of 7557 and 7550

Related Least Common Multiples of 7550

Related Least Common Multiples of 7557

Frequently Asked Questions on LCM of 7550 and 7557

1. What is the LCM of 7550 and 7557?

Answer: LCM of 7550 and 7557 is 57055350.

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 7557?

Answer: Factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557. There are 8 integers that are factors of 7557. The greatest factor of 7557 is 7557.

4. How to Find the LCM of 7550 and 7557?

Answer:

Least Common Multiple of 7550 and 7557 = 57055350

Step 1: Find the prime factorization of 7550

7550 = 2 x 5 x 5 x 151

Step 2: Find the prime factorization of 7557

7557 = 3 x 11 x 229

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

LCM = 57055350 = 2 x 3 x 5 x 5 x 11 x 151 x 229

Step 4: Therefore, the least common multiple of 7550 and 7557 is 57055350.