Least Common Multiple of 7557 and 7562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7557 and 7562 the smallest integer that is 57146034 that is divisible by both numbers.

Least Common Multiple (LCM) of 7557 and 7562 is 57146034.

LCM(7557,7562) = 57146034

LCM of 7557 and 7562

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

LCM of:
and

Least Common Multiple of 7557 and 7562

LCM of 7557 and 7562 is 57146034

Least common multiple can be found by multiplying the highest exponent prime factors of 7557 and 7562. First we will calculate the prime factors of 7557 and 7562.

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

Prime Factorization of 7562


2 7562
19 3781
199 199
1

Prime factors of 7562 are 2, 19,199. Prime factorization of 7562 in exponential form is:

7562 = 21×191×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 7557 and 7562.

LCM(7557,7562) = 21×31×111×191×1991×2291
LCM(7557,7562) = 57146034

Factors of 7557

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

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

Factors of 7562

List of positive integer factors of 7562 that divides 7562 without a remainder.

1, 2, 19, 38, 199, 398, 3781, 7562

Least Common Multiple of 7557 and 7562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7557 and 7562, than apply into the LCM equation.

GCF(7557,7562) = 1
LCM(7557,7562) = ( 7557 × 7562) / 1
LCM(7557,7562) = 57146034 / 1
LCM(7557,7562) = 57146034

Properties of LCM 7557 and 7562

(i) The LCM of 7562 and 7557 is associative

LCM of 7557 and 7562 = LCM of 7562 and 7557

Related Least Common Multiples of 7557

Related Least Common Multiples of 7562

Frequently Asked Questions on LCM of 7557 and 7562

1. What is the LCM of 7557 and 7562?

Answer: LCM of 7557 and 7562 is 57146034.

2. 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.

3. What are the Factors of 7562?

Answer: Factors of 7562 are 1, 2, 19, 38, 199, 398, 3781, 7562. There are 8 integers that are factors of 7562. The greatest factor of 7562 is 7562.

4. How to Find the LCM of 7557 and 7562?

Answer:

Least Common Multiple of 7557 and 7562 = 57146034

Step 1: Find the prime factorization of 7557

7557 = 3 x 11 x 229

Step 2: Find the prime factorization of 7562

7562 = 2 x 19 x 199

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

LCM = 57146034 = 2 x 3 x 11 x 19 x 199 x 229

Step 4: Therefore, the least common multiple of 7557 and 7562 is 57146034.