Least Common Multiple of 7547 and 7552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7547 and 7552 the smallest integer that is 56994944 that is divisible by both numbers.

Least Common Multiple (LCM) of 7547 and 7552 is 56994944.

LCM(7547,7552) = 56994944

LCM of 7547 and 7552

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

LCM of:
and

Least Common Multiple of 7547 and 7552

LCM of 7547 and 7552 is 56994944

Least common multiple can be found by multiplying the highest exponent prime factors of 7547 and 7552. First we will calculate the prime factors of 7547 and 7552.

Prime Factorization of 7547


7547 7547
1

Prime factors of 7547 are 7547. Prime factorization of 7547 in exponential form is:

7547 = 75471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7547 and 7552.

LCM(7547,7552) = 27×591×75471
LCM(7547,7552) = 56994944

Factors of 7547

List of positive integer factors of 7547 that divides 7547 without a remainder.

1, 7547

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

Least Common Multiple of 7547 and 7552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7547 and 7552, than apply into the LCM equation.

GCF(7547,7552) = 1
LCM(7547,7552) = ( 7547 × 7552) / 1
LCM(7547,7552) = 56994944 / 1
LCM(7547,7552) = 56994944

Properties of LCM 7547 and 7552

(i) The LCM of 7552 and 7547 is associative

LCM of 7547 and 7552 = LCM of 7552 and 7547

Related Least Common Multiples of 7547

Related Least Common Multiples of 7552

Frequently Asked Questions on LCM of 7547 and 7552

1. What is the LCM of 7547 and 7552?

Answer: LCM of 7547 and 7552 is 56994944.

2. What are the Factors of 7547?

Answer: Factors of 7547 are 1, 7547. There are 2 integers that are factors of 7547. The greatest factor of 7547 is 7547.

3. 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.

4. How to Find the LCM of 7547 and 7552?

Answer:

Least Common Multiple of 7547 and 7552 = 56994944

Step 1: Find the prime factorization of 7547

7547 = 7547

Step 2: Find the prime factorization of 7552

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

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

LCM = 56994944 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59 x 7547

Step 4: Therefore, the least common multiple of 7547 and 7552 is 56994944.