Least Common Multiple of 7643 and 7647

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 7647 the smallest integer that is 58446021 that is divisible by both numbers.

Least Common Multiple (LCM) of 7643 and 7647 is 58446021.

LCM(7643,7647) = 58446021

LCM of 7643 and 7647

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

LCM of:
and

Least Common Multiple of 7643 and 7647

LCM of 7643 and 7647 is 58446021

Least common multiple can be found by multiplying the highest exponent prime factors of 7643 and 7647. First we will calculate the prime factors of 7643 and 7647.

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 7647


3 7647
2549 2549
1

Prime factors of 7647 are 3,2549. Prime factorization of 7647 in exponential form is:

7647 = 31×25491

Now multiplying the highest exponent prime factors to calculate the LCM of 7643 and 7647.

LCM(7643,7647) = 31×25491×76431
LCM(7643,7647) = 58446021

Factors of 7643

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

1, 7643

Factors of 7647

List of positive integer factors of 7647 that divides 7647 without a remainder.

1, 3, 2549, 7647

Least Common Multiple of 7643 and 7647 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 7647, than apply into the LCM equation.

GCF(7643,7647) = 1
LCM(7643,7647) = ( 7643 × 7647) / 1
LCM(7643,7647) = 58446021 / 1
LCM(7643,7647) = 58446021

Properties of LCM 7643 and 7647

(i) The LCM of 7647 and 7643 is associative

LCM of 7643 and 7647 = LCM of 7647 and 7643

Related Least Common Multiples of 7643

Related Least Common Multiples of 7647

Frequently Asked Questions on LCM of 7643 and 7647

1. What is the LCM of 7643 and 7647?

Answer: LCM of 7643 and 7647 is 58446021.

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 7647?

Answer: Factors of 7647 are 1, 3, 2549, 7647. There are 4 integers that are factors of 7647. The greatest factor of 7647 is 7647.

4. How to Find the LCM of 7643 and 7647?

Answer:

Least Common Multiple of 7643 and 7647 = 58446021

Step 1: Find the prime factorization of 7643

7643 = 7643

Step 2: Find the prime factorization of 7647

7647 = 3 x 2549

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

LCM = 58446021 = 3 x 2549 x 7643

Step 4: Therefore, the least common multiple of 7643 and 7647 is 58446021.