Least Common Multiple of 7643 and 7649

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 7649 the smallest integer that is 58461307 that is divisible by both numbers.

Least Common Multiple (LCM) of 7643 and 7649 is 58461307.

LCM(7643,7649) = 58461307

LCM of 7643 and 7649

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

LCM of:
and

Least Common Multiple of 7643 and 7649

LCM of 7643 and 7649 is 58461307

Least common multiple can be found by multiplying the highest exponent prime factors of 7643 and 7649. First we will calculate the prime factors of 7643 and 7649.

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 7649


7649 7649
1

Prime factors of 7649 are 7649. Prime factorization of 7649 in exponential form is:

7649 = 76491

Now multiplying the highest exponent prime factors to calculate the LCM of 7643 and 7649.

LCM(7643,7649) = 76431×76491
LCM(7643,7649) = 58461307

Factors of 7643

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

1, 7643

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1, 7649

Least Common Multiple of 7643 and 7649 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 7649, than apply into the LCM equation.

GCF(7643,7649) = 1
LCM(7643,7649) = ( 7643 × 7649) / 1
LCM(7643,7649) = 58461307 / 1
LCM(7643,7649) = 58461307

Properties of LCM 7643 and 7649

(i) The LCM of 7649 and 7643 is associative

LCM of 7643 and 7649 = LCM of 7649 and 7643

Related Least Common Multiples of 7643

Related Least Common Multiples of 7649

Frequently Asked Questions on LCM of 7643 and 7649

1. What is the LCM of 7643 and 7649?

Answer: LCM of 7643 and 7649 is 58461307.

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 7649?

Answer: Factors of 7649 are 1, 7649. There are 2 integers that are factors of 7649. The greatest factor of 7649 is 7649.

4. How to Find the LCM of 7643 and 7649?

Answer:

Least Common Multiple of 7643 and 7649 = 58461307

Step 1: Find the prime factorization of 7643

7643 = 7643

Step 2: Find the prime factorization of 7649

7649 = 7649

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

LCM = 58461307 = 7643 x 7649

Step 4: Therefore, the least common multiple of 7643 and 7649 is 58461307.