Least Common Multiple of 7641 and 7648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7641 and 7648 the smallest integer that is 58438368 that is divisible by both numbers.

Least Common Multiple (LCM) of 7641 and 7648 is 58438368.

LCM(7641,7648) = 58438368

LCM of 7641 and 7648

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

LCM of:
and

Least Common Multiple of 7641 and 7648

LCM of 7641 and 7648 is 58438368

Least common multiple can be found by multiplying the highest exponent prime factors of 7641 and 7648. First we will calculate the prime factors of 7641 and 7648.

Prime Factorization of 7641


3 7641
3 2547
3 849
283 283
1

Prime factors of 7641 are 3,283. Prime factorization of 7641 in exponential form is:

7641 = 33×2831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7641 and 7648.

LCM(7641,7648) = 25×33×2391×2831
LCM(7641,7648) = 58438368

Factors of 7641

List of positive integer factors of 7641 that divides 7641 without a remainder.

1, 3, 9, 27, 283, 849, 2547, 7641

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

Least Common Multiple of 7641 and 7648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7641 and 7648, than apply into the LCM equation.

GCF(7641,7648) = 1
LCM(7641,7648) = ( 7641 × 7648) / 1
LCM(7641,7648) = 58438368 / 1
LCM(7641,7648) = 58438368

Properties of LCM 7641 and 7648

(i) The LCM of 7648 and 7641 is associative

LCM of 7641 and 7648 = LCM of 7648 and 7641

Related Least Common Multiples of 7641

Related Least Common Multiples of 7648

Frequently Asked Questions on LCM of 7641 and 7648

1. What is the LCM of 7641 and 7648?

Answer: LCM of 7641 and 7648 is 58438368.

2. What are the Factors of 7641?

Answer: Factors of 7641 are 1, 3, 9, 27, 283, 849, 2547, 7641. There are 8 integers that are factors of 7641. The greatest factor of 7641 is 7641.

3. 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.

4. How to Find the LCM of 7641 and 7648?

Answer:

Least Common Multiple of 7641 and 7648 = 58438368

Step 1: Find the prime factorization of 7641

7641 = 3 x 3 x 3 x 283

Step 2: Find the prime factorization of 7648

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

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

LCM = 58438368 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 239 x 283

Step 4: Therefore, the least common multiple of 7641 and 7648 is 58438368.