Least Common Multiple of 7552 and 7556

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 7556 the smallest integer that is 14265728 that is divisible by both numbers.

Least Common Multiple (LCM) of 7552 and 7556 is 14265728.

LCM(7552,7556) = 14265728

LCM of 7552 and 7556

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

LCM of:
and

Least Common Multiple of 7552 and 7556

LCM of 7552 and 7556 is 14265728

Least common multiple can be found by multiplying the highest exponent prime factors of 7552 and 7556. First we will calculate the prime factors of 7552 and 7556.

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 7556


2 7556
2 3778
1889 1889
1

Prime factors of 7556 are 2,1889. Prime factorization of 7556 in exponential form is:

7556 = 22×18891

Now multiplying the highest exponent prime factors to calculate the LCM of 7552 and 7556.

LCM(7552,7556) = 27×591×18891
LCM(7552,7556) = 14265728

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 7556

List of positive integer factors of 7556 that divides 7556 without a remainder.

1, 2, 4, 1889, 3778, 7556

Least Common Multiple of 7552 and 7556 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 7556, than apply into the LCM equation.

GCF(7552,7556) = 4
LCM(7552,7556) = ( 7552 × 7556) / 4
LCM(7552,7556) = 57062912 / 4
LCM(7552,7556) = 14265728

Properties of LCM 7552 and 7556

(i) The LCM of 7556 and 7552 is associative

LCM of 7552 and 7556 = LCM of 7556 and 7552

Related Least Common Multiples of 7552

Related Least Common Multiples of 7556

Frequently Asked Questions on LCM of 7552 and 7556

1. What is the LCM of 7552 and 7556?

Answer: LCM of 7552 and 7556 is 14265728.

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 7556?

Answer: Factors of 7556 are 1, 2, 4, 1889, 3778, 7556. There are 6 integers that are factors of 7556. The greatest factor of 7556 is 7556.

4. How to Find the LCM of 7552 and 7556?

Answer:

Least Common Multiple of 7552 and 7556 = 14265728

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 7556

7556 = 2 x 2 x 1889

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

LCM = 14265728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 59 x 1889

Step 4: Therefore, the least common multiple of 7552 and 7556 is 14265728.