Least Common Multiple of 7557 and 7564

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 7564 the smallest integer that is 57161148 that is divisible by both numbers.

Least Common Multiple (LCM) of 7557 and 7564 is 57161148.

LCM(7557,7564) = 57161148

LCM of 7557 and 7564

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

LCM of:
and

Least Common Multiple of 7557 and 7564

LCM of 7557 and 7564 is 57161148

Least common multiple can be found by multiplying the highest exponent prime factors of 7557 and 7564. First we will calculate the prime factors of 7557 and 7564.

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 7564


2 7564
2 3782
31 1891
61 61
1

Prime factors of 7564 are 2, 31,61. Prime factorization of 7564 in exponential form is:

7564 = 22×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7557 and 7564.

LCM(7557,7564) = 22×31×111×311×611×2291
LCM(7557,7564) = 57161148

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 7564

List of positive integer factors of 7564 that divides 7564 without a remainder.

1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564

Least Common Multiple of 7557 and 7564 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 7564, than apply into the LCM equation.

GCF(7557,7564) = 1
LCM(7557,7564) = ( 7557 × 7564) / 1
LCM(7557,7564) = 57161148 / 1
LCM(7557,7564) = 57161148

Properties of LCM 7557 and 7564

(i) The LCM of 7564 and 7557 is associative

LCM of 7557 and 7564 = LCM of 7564 and 7557

Related Least Common Multiples of 7557

Related Least Common Multiples of 7564

Frequently Asked Questions on LCM of 7557 and 7564

1. What is the LCM of 7557 and 7564?

Answer: LCM of 7557 and 7564 is 57161148.

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 7564?

Answer: Factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564. There are 12 integers that are factors of 7564. The greatest factor of 7564 is 7564.

4. How to Find the LCM of 7557 and 7564?

Answer:

Least Common Multiple of 7557 and 7564 = 57161148

Step 1: Find the prime factorization of 7557

7557 = 3 x 11 x 229

Step 2: Find the prime factorization of 7564

7564 = 2 x 2 x 31 x 61

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

LCM = 57161148 = 2 x 2 x 3 x 11 x 31 x 61 x 229

Step 4: Therefore, the least common multiple of 7557 and 7564 is 57161148.