Least Common Multiple of 7556 and 7560

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 7560 the smallest integer that is 14280840 that is divisible by both numbers.

Least Common Multiple (LCM) of 7556 and 7560 is 14280840.

LCM(7556,7560) = 14280840

LCM of 7556 and 7560

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

LCM of:
and

Least Common Multiple of 7556 and 7560

LCM of 7556 and 7560 is 14280840

Least common multiple can be found by multiplying the highest exponent prime factors of 7556 and 7560. First we will calculate the prime factors of 7556 and 7560.

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 7560


2 7560
2 3780
2 1890
3 945
3 315
3 105
5 35
7 7
1

Prime factors of 7560 are 2, 3, 5,7. Prime factorization of 7560 in exponential form is:

7560 = 23×33×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 7556 and 7560.

LCM(7556,7560) = 23×33×51×71×18891
LCM(7556,7560) = 14280840

Factors of 7556

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

1, 2, 4, 1889, 3778, 7556

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560

Least Common Multiple of 7556 and 7560 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 7560, than apply into the LCM equation.

GCF(7556,7560) = 4
LCM(7556,7560) = ( 7556 × 7560) / 4
LCM(7556,7560) = 57123360 / 4
LCM(7556,7560) = 14280840

Properties of LCM 7556 and 7560

(i) The LCM of 7560 and 7556 is associative

LCM of 7556 and 7560 = LCM of 7560 and 7556

Related Least Common Multiples of 7556

Related Least Common Multiples of 7560

Frequently Asked Questions on LCM of 7556 and 7560

1. What is the LCM of 7556 and 7560?

Answer: LCM of 7556 and 7560 is 14280840.

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 7560?

Answer: Factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560. There are 64 integers that are factors of 7560. The greatest factor of 7560 is 7560.

4. How to Find the LCM of 7556 and 7560?

Answer:

Least Common Multiple of 7556 and 7560 = 14280840

Step 1: Find the prime factorization of 7556

7556 = 2 x 2 x 1889

Step 2: Find the prime factorization of 7560

7560 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7

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

LCM = 14280840 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 1889

Step 4: Therefore, the least common multiple of 7556 and 7560 is 14280840.