Least Common Multiple of 7552 and 7557

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 7557 the smallest integer that is 57070464 that is divisible by both numbers.

Least Common Multiple (LCM) of 7552 and 7557 is 57070464.

LCM(7552,7557) = 57070464

LCM of 7552 and 7557

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

LCM of:
and

Least Common Multiple of 7552 and 7557

LCM of 7552 and 7557 is 57070464

Least common multiple can be found by multiplying the highest exponent prime factors of 7552 and 7557. First we will calculate the prime factors of 7552 and 7557.

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 7557


3 7557
11 2519
229 229
1

Prime factors of 7557 are 3, 11,229. Prime factorization of 7557 in exponential form is:

7557 = 31×111×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 7552 and 7557.

LCM(7552,7557) = 27×31×111×591×2291
LCM(7552,7557) = 57070464

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 7557

List of positive integer factors of 7557 that divides 7557 without a remainder.

1, 3, 11, 33, 229, 687, 2519, 7557

Least Common Multiple of 7552 and 7557 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 7557, than apply into the LCM equation.

GCF(7552,7557) = 1
LCM(7552,7557) = ( 7552 × 7557) / 1
LCM(7552,7557) = 57070464 / 1
LCM(7552,7557) = 57070464

Properties of LCM 7552 and 7557

(i) The LCM of 7557 and 7552 is associative

LCM of 7552 and 7557 = LCM of 7557 and 7552

Related Least Common Multiples of 7552

Related Least Common Multiples of 7557

Frequently Asked Questions on LCM of 7552 and 7557

1. What is the LCM of 7552 and 7557?

Answer: LCM of 7552 and 7557 is 57070464.

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 7557?

Answer: Factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557. There are 8 integers that are factors of 7557. The greatest factor of 7557 is 7557.

4. How to Find the LCM of 7552 and 7557?

Answer:

Least Common Multiple of 7552 and 7557 = 57070464

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 7557

7557 = 3 x 11 x 229

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

LCM = 57070464 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 59 x 229

Step 4: Therefore, the least common multiple of 7552 and 7557 is 57070464.