Least Common Multiple of 7553 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 7553 and 7560 the smallest integer that is 8157240 that is divisible by both numbers.

Least Common Multiple (LCM) of 7553 and 7560 is 8157240.

LCM(7553,7560) = 8157240

LCM of 7553 and 7560

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

LCM of:
and

Least Common Multiple of 7553 and 7560

LCM of 7553 and 7560 is 8157240

Least common multiple can be found by multiplying the highest exponent prime factors of 7553 and 7560. First we will calculate the prime factors of 7553 and 7560.

Prime Factorization of 7553


7 7553
13 1079
83 83
1

Prime factors of 7553 are 7, 13,83. Prime factorization of 7553 in exponential form is:

7553 = 71×131×831

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 7553 and 7560.

LCM(7553,7560) = 23×33×51×71×131×831
LCM(7553,7560) = 8157240

Factors of 7553

List of positive integer factors of 7553 that divides 7553 without a remainder.

1, 7, 13, 83, 91, 581, 1079, 7553

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 7553 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 7553 and 7560, than apply into the LCM equation.

GCF(7553,7560) = 7
LCM(7553,7560) = ( 7553 × 7560) / 7
LCM(7553,7560) = 57100680 / 7
LCM(7553,7560) = 8157240

Properties of LCM 7553 and 7560

(i) The LCM of 7560 and 7553 is associative

LCM of 7553 and 7560 = LCM of 7560 and 7553

Related Least Common Multiples of 7553

Related Least Common Multiples of 7560

Frequently Asked Questions on LCM of 7553 and 7560

1. What is the LCM of 7553 and 7560?

Answer: LCM of 7553 and 7560 is 8157240.

2. What are the Factors of 7553?

Answer: Factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553. There are 8 integers that are factors of 7553. The greatest factor of 7553 is 7553.

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 7553 and 7560?

Answer:

Least Common Multiple of 7553 and 7560 = 8157240

Step 1: Find the prime factorization of 7553

7553 = 7 x 13 x 83

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 = 8157240 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 83

Step 4: Therefore, the least common multiple of 7553 and 7560 is 8157240.