Least Common Multiple of 7648 and 7655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7648 and 7655 the smallest integer that is 58545440 that is divisible by both numbers.

Least Common Multiple (LCM) of 7648 and 7655 is 58545440.

LCM(7648,7655) = 58545440

LCM of 7648 and 7655

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

LCM of:
and

Least Common Multiple of 7648 and 7655

LCM of 7648 and 7655 is 58545440

Least common multiple can be found by multiplying the highest exponent prime factors of 7648 and 7655. First we will calculate the prime factors of 7648 and 7655.

Prime Factorization of 7648


2 7648
2 3824
2 1912
2 956
2 478
239 239
1

Prime factors of 7648 are 2,239. Prime factorization of 7648 in exponential form is:

7648 = 25×2391

Prime Factorization of 7655


5 7655
1531 1531
1

Prime factors of 7655 are 5,1531. Prime factorization of 7655 in exponential form is:

7655 = 51×15311

Now multiplying the highest exponent prime factors to calculate the LCM of 7648 and 7655.

LCM(7648,7655) = 25×51×2391×15311
LCM(7648,7655) = 58545440

Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648

Factors of 7655

List of positive integer factors of 7655 that divides 7655 without a remainder.

1, 5, 1531, 7655

Least Common Multiple of 7648 and 7655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7648 and 7655, than apply into the LCM equation.

GCF(7648,7655) = 1
LCM(7648,7655) = ( 7648 × 7655) / 1
LCM(7648,7655) = 58545440 / 1
LCM(7648,7655) = 58545440

Properties of LCM 7648 and 7655

(i) The LCM of 7655 and 7648 is associative

LCM of 7648 and 7655 = LCM of 7655 and 7648

Related Least Common Multiples of 7648

Related Least Common Multiples of 7655

Frequently Asked Questions on LCM of 7648 and 7655

1. What is the LCM of 7648 and 7655?

Answer: LCM of 7648 and 7655 is 58545440.

2. What are the Factors of 7648?

Answer: Factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648. There are 12 integers that are factors of 7648. The greatest factor of 7648 is 7648.

3. What are the Factors of 7655?

Answer: Factors of 7655 are 1, 5, 1531, 7655. There are 4 integers that are factors of 7655. The greatest factor of 7655 is 7655.

4. How to Find the LCM of 7648 and 7655?

Answer:

Least Common Multiple of 7648 and 7655 = 58545440

Step 1: Find the prime factorization of 7648

7648 = 2 x 2 x 2 x 2 x 2 x 239

Step 2: Find the prime factorization of 7655

7655 = 5 x 1531

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

LCM = 58545440 = 2 x 2 x 2 x 2 x 2 x 5 x 239 x 1531

Step 4: Therefore, the least common multiple of 7648 and 7655 is 58545440.