Least Common Multiple of 7552 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 7552 and 7560 the smallest integer that is 7136640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7552 and 7560 is 7136640.

LCM(7552,7560) = 7136640

LCM of 7552 and 7560

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

LCM of:
and

Least Common Multiple of 7552 and 7560

LCM of 7552 and 7560 is 7136640

Least common multiple can be found by multiplying the highest exponent prime factors of 7552 and 7560. First we will calculate the prime factors of 7552 and 7560.

Prime Factorization of 7552


2 7552
2 3776
2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 7552 are 2,59. Prime factorization of 7552 in exponential form is:

7552 = 27×591

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 7552 and 7560.

LCM(7552,7560) = 27×33×51×71×591
LCM(7552,7560) = 7136640

Factors of 7552

List of positive integer factors of 7552 that divides 7552 without a remainder.

1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552

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 7552 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 7552 and 7560, than apply into the LCM equation.

GCF(7552,7560) = 8
LCM(7552,7560) = ( 7552 × 7560) / 8
LCM(7552,7560) = 57093120 / 8
LCM(7552,7560) = 7136640

Properties of LCM 7552 and 7560

(i) The LCM of 7560 and 7552 is associative

LCM of 7552 and 7560 = LCM of 7560 and 7552

Related Least Common Multiples of 7552

Related Least Common Multiples of 7560

Frequently Asked Questions on LCM of 7552 and 7560

1. What is the LCM of 7552 and 7560?

Answer: LCM of 7552 and 7560 is 7136640.

2. What are the Factors of 7552?

Answer: Factors of 7552 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 128, 236, 472, 944, 1888, 3776, 7552. There are 16 integers that are factors of 7552. The greatest factor of 7552 is 7552.

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 7552 and 7560?

Answer:

Least Common Multiple of 7552 and 7560 = 7136640

Step 1: Find the prime factorization of 7552

7552 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59

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 = 7136640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 59

Step 4: Therefore, the least common multiple of 7552 and 7560 is 7136640.