Least Common Multiple of 7556 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 7556 and 7564 the smallest integer that is 14288396 that is divisible by both numbers.

Least Common Multiple (LCM) of 7556 and 7564 is 14288396.

LCM(7556,7564) = 14288396

LCM of 7556 and 7564

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

LCM of:
and

Least Common Multiple of 7556 and 7564

LCM of 7556 and 7564 is 14288396

Least common multiple can be found by multiplying the highest exponent prime factors of 7556 and 7564. First we will calculate the prime factors of 7556 and 7564.

Prime Factorization of 7556


2 7556
2 3778
1889 1889
1

Prime factors of 7556 are 2,1889. Prime factorization of 7556 in exponential form is:

7556 = 22×18891

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 7556 and 7564.

LCM(7556,7564) = 22×311×611×18891
LCM(7556,7564) = 14288396

Factors of 7556

List of positive integer factors of 7556 that divides 7556 without a remainder.

1, 2, 4, 1889, 3778, 7556

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 7556 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 7556 and 7564, than apply into the LCM equation.

GCF(7556,7564) = 4
LCM(7556,7564) = ( 7556 × 7564) / 4
LCM(7556,7564) = 57153584 / 4
LCM(7556,7564) = 14288396

Properties of LCM 7556 and 7564

(i) The LCM of 7564 and 7556 is associative

LCM of 7556 and 7564 = LCM of 7564 and 7556

Related Least Common Multiples of 7556

Related Least Common Multiples of 7564

Frequently Asked Questions on LCM of 7556 and 7564

1. What is the LCM of 7556 and 7564?

Answer: LCM of 7556 and 7564 is 14288396.

2. What are the Factors of 7556?

Answer: Factors of 7556 are 1, 2, 4, 1889, 3778, 7556. There are 6 integers that are factors of 7556. The greatest factor of 7556 is 7556.

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 7556 and 7564?

Answer:

Least Common Multiple of 7556 and 7564 = 14288396

Step 1: Find the prime factorization of 7556

7556 = 2 x 2 x 1889

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 = 14288396 = 2 x 2 x 31 x 61 x 1889

Step 4: Therefore, the least common multiple of 7556 and 7564 is 14288396.