Least Common Multiple of 7554 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 7554 and 7560 the smallest integer that is 9518040 that is divisible by both numbers.

Least Common Multiple (LCM) of 7554 and 7560 is 9518040.

LCM(7554,7560) = 9518040

LCM of 7554 and 7560

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

LCM of:
and

Least Common Multiple of 7554 and 7560

LCM of 7554 and 7560 is 9518040

Least common multiple can be found by multiplying the highest exponent prime factors of 7554 and 7560. First we will calculate the prime factors of 7554 and 7560.

Prime Factorization of 7554


2 7554
3 3777
1259 1259
1

Prime factors of 7554 are 2, 3,1259. Prime factorization of 7554 in exponential form is:

7554 = 21×31×12591

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 7554 and 7560.

LCM(7554,7560) = 23×33×51×71×12591
LCM(7554,7560) = 9518040

Factors of 7554

List of positive integer factors of 7554 that divides 7554 without a remainder.

1, 2, 3, 6, 1259, 2518, 3777, 7554

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 7554 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 7554 and 7560, than apply into the LCM equation.

GCF(7554,7560) = 6
LCM(7554,7560) = ( 7554 × 7560) / 6
LCM(7554,7560) = 57108240 / 6
LCM(7554,7560) = 9518040

Properties of LCM 7554 and 7560

(i) The LCM of 7560 and 7554 is associative

LCM of 7554 and 7560 = LCM of 7560 and 7554

Related Least Common Multiples of 7554

Related Least Common Multiples of 7560

Frequently Asked Questions on LCM of 7554 and 7560

1. What is the LCM of 7554 and 7560?

Answer: LCM of 7554 and 7560 is 9518040.

2. What are the Factors of 7554?

Answer: Factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554. There are 8 integers that are factors of 7554. The greatest factor of 7554 is 7554.

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 7554 and 7560?

Answer:

Least Common Multiple of 7554 and 7560 = 9518040

Step 1: Find the prime factorization of 7554

7554 = 2 x 3 x 1259

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 = 9518040 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 1259

Step 4: Therefore, the least common multiple of 7554 and 7560 is 9518040.