Least Common Multiple of 7633 and 7639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7633 and 7639 the smallest integer that is 58308487 that is divisible by both numbers.

Least Common Multiple (LCM) of 7633 and 7639 is 58308487.

LCM(7633,7639) = 58308487

LCM of 7633 and 7639

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

LCM of:
and

Least Common Multiple of 7633 and 7639

LCM of 7633 and 7639 is 58308487

Least common multiple can be found by multiplying the highest exponent prime factors of 7633 and 7639. First we will calculate the prime factors of 7633 and 7639.

Prime Factorization of 7633


17 7633
449 449
1

Prime factors of 7633 are 17,449. Prime factorization of 7633 in exponential form is:

7633 = 171×4491

Prime Factorization of 7639


7639 7639
1

Prime factors of 7639 are 7639. Prime factorization of 7639 in exponential form is:

7639 = 76391

Now multiplying the highest exponent prime factors to calculate the LCM of 7633 and 7639.

LCM(7633,7639) = 171×4491×76391
LCM(7633,7639) = 58308487

Factors of 7633

List of positive integer factors of 7633 that divides 7633 without a remainder.

1, 17, 449, 7633

Factors of 7639

List of positive integer factors of 7639 that divides 7639 without a remainder.

1, 7639

Least Common Multiple of 7633 and 7639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7633 and 7639, than apply into the LCM equation.

GCF(7633,7639) = 1
LCM(7633,7639) = ( 7633 × 7639) / 1
LCM(7633,7639) = 58308487 / 1
LCM(7633,7639) = 58308487

Properties of LCM 7633 and 7639

(i) The LCM of 7639 and 7633 is associative

LCM of 7633 and 7639 = LCM of 7639 and 7633

Related Least Common Multiples of 7633

Related Least Common Multiples of 7639

Frequently Asked Questions on LCM of 7633 and 7639

1. What is the LCM of 7633 and 7639?

Answer: LCM of 7633 and 7639 is 58308487.

2. What are the Factors of 7633?

Answer: Factors of 7633 are 1, 17, 449, 7633. There are 4 integers that are factors of 7633. The greatest factor of 7633 is 7633.

3. What are the Factors of 7639?

Answer: Factors of 7639 are 1, 7639. There are 2 integers that are factors of 7639. The greatest factor of 7639 is 7639.

4. How to Find the LCM of 7633 and 7639?

Answer:

Least Common Multiple of 7633 and 7639 = 58308487

Step 1: Find the prime factorization of 7633

7633 = 17 x 449

Step 2: Find the prime factorization of 7639

7639 = 7639

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

LCM = 58308487 = 17 x 449 x 7639

Step 4: Therefore, the least common multiple of 7633 and 7639 is 58308487.