Least Common Multiple of 7643 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 7643 and 7648 the smallest integer that is 58453664 that is divisible by both numbers.

Least Common Multiple (LCM) of 7643 and 7648 is 58453664.

LCM(7643,7648) = 58453664

LCM of 7643 and 7648

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

LCM of:
and

Least Common Multiple of 7643 and 7648

LCM of 7643 and 7648 is 58453664

Least common multiple can be found by multiplying the highest exponent prime factors of 7643 and 7648. First we will calculate the prime factors of 7643 and 7648.

Prime Factorization of 7643


7643 7643
1

Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:

7643 = 76431

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 7643 and 7648.

LCM(7643,7648) = 25×2391×76431
LCM(7643,7648) = 58453664

Factors of 7643

List of positive integer factors of 7643 that divides 7643 without a remainder.

1, 7643

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 7643 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 7643 and 7648, than apply into the LCM equation.

GCF(7643,7648) = 1
LCM(7643,7648) = ( 7643 × 7648) / 1
LCM(7643,7648) = 58453664 / 1
LCM(7643,7648) = 58453664

Properties of LCM 7643 and 7648

(i) The LCM of 7648 and 7643 is associative

LCM of 7643 and 7648 = LCM of 7648 and 7643

Related Least Common Multiples of 7643

Related Least Common Multiples of 7648

Frequently Asked Questions on LCM of 7643 and 7648

1. What is the LCM of 7643 and 7648?

Answer: LCM of 7643 and 7648 is 58453664.

2. What are the Factors of 7643?

Answer: Factors of 7643 are 1, 7643. There are 2 integers that are factors of 7643. The greatest factor of 7643 is 7643.

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 7643 and 7648?

Answer:

Least Common Multiple of 7643 and 7648 = 58453664

Step 1: Find the prime factorization of 7643

7643 = 7643

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 = 58453664 = 2 x 2 x 2 x 2 x 2 x 239 x 7643

Step 4: Therefore, the least common multiple of 7643 and 7648 is 58453664.