Least Common Multiple of 7635 and 7641

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 7641 the smallest integer that is 19446345 that is divisible by both numbers.

Least Common Multiple (LCM) of 7635 and 7641 is 19446345.

LCM(7635,7641) = 19446345

LCM of 7635 and 7641

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

LCM of:
and

Least Common Multiple of 7635 and 7641

LCM of 7635 and 7641 is 19446345

Least common multiple can be found by multiplying the highest exponent prime factors of 7635 and 7641. First we will calculate the prime factors of 7635 and 7641.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 7635 and 7641.

LCM(7635,7641) = 33×51×2831×5091
LCM(7635,7641) = 19446345

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 7641

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

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

Least Common Multiple of 7635 and 7641 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 7641, than apply into the LCM equation.

GCF(7635,7641) = 3
LCM(7635,7641) = ( 7635 × 7641) / 3
LCM(7635,7641) = 58339035 / 3
LCM(7635,7641) = 19446345

Properties of LCM 7635 and 7641

(i) The LCM of 7641 and 7635 is associative

LCM of 7635 and 7641 = LCM of 7641 and 7635

Related Least Common Multiples of 7635

Related Least Common Multiples of 7641

Frequently Asked Questions on LCM of 7635 and 7641

1. What is the LCM of 7635 and 7641?

Answer: LCM of 7635 and 7641 is 19446345.

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 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.

4. How to Find the LCM of 7635 and 7641?

Answer:

Least Common Multiple of 7635 and 7641 = 19446345

Step 1: Find the prime factorization of 7635

7635 = 3 x 5 x 509

Step 2: Find the prime factorization of 7641

7641 = 3 x 3 x 3 x 283

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

LCM = 19446345 = 3 x 3 x 3 x 5 x 283 x 509

Step 4: Therefore, the least common multiple of 7635 and 7641 is 19446345.