Least Common Multiple of 7635 and 7643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7635 and 7643 the smallest integer that is 58354305 that is divisible by both numbers.

Least Common Multiple (LCM) of 7635 and 7643 is 58354305.

LCM(7635,7643) = 58354305

LCM of 7635 and 7643

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

LCM of:
and

Least Common Multiple of 7635 and 7643

LCM of 7635 and 7643 is 58354305

Least common multiple can be found by multiplying the highest exponent prime factors of 7635 and 7643. First we will calculate the prime factors of 7635 and 7643.

Prime Factorization of 7635


3 7635
5 2545
509 509
1

Prime factors of 7635 are 3, 5,509. Prime factorization of 7635 in exponential form is:

7635 = 31×51×5091

Prime Factorization of 7643


7643 7643
1

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

7643 = 76431

Now multiplying the highest exponent prime factors to calculate the LCM of 7635 and 7643.

LCM(7635,7643) = 31×51×5091×76431
LCM(7635,7643) = 58354305

Factors of 7635

List of positive integer factors of 7635 that divides 7635 without a remainder.

1, 3, 5, 15, 509, 1527, 2545, 7635

Factors of 7643

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

1, 7643

Least Common Multiple of 7635 and 7643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7635 and 7643, than apply into the LCM equation.

GCF(7635,7643) = 1
LCM(7635,7643) = ( 7635 × 7643) / 1
LCM(7635,7643) = 58354305 / 1
LCM(7635,7643) = 58354305

Properties of LCM 7635 and 7643

(i) The LCM of 7643 and 7635 is associative

LCM of 7635 and 7643 = LCM of 7643 and 7635

Related Least Common Multiples of 7635

Related Least Common Multiples of 7643

Frequently Asked Questions on LCM of 7635 and 7643

1. What is the LCM of 7635 and 7643?

Answer: LCM of 7635 and 7643 is 58354305.

2. What are the Factors of 7635?

Answer: Factors of 7635 are 1, 3, 5, 15, 509, 1527, 2545, 7635. There are 8 integers that are factors of 7635. The greatest factor of 7635 is 7635.

3. 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.

4. How to Find the LCM of 7635 and 7643?

Answer:

Least Common Multiple of 7635 and 7643 = 58354305

Step 1: Find the prime factorization of 7635

7635 = 3 x 5 x 509

Step 2: Find the prime factorization of 7643

7643 = 7643

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

LCM = 58354305 = 3 x 5 x 509 x 7643

Step 4: Therefore, the least common multiple of 7635 and 7643 is 58354305.