Least Common Multiple of 633 and 641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 633 and 641 the smallest integer that is 405753 that is divisible by both numbers.

Least Common Multiple (LCM) of 633 and 641 is 405753.

LCM(633,641) = 405753

LCM of 633 and 641

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

LCM of:
and

Least Common Multiple of 633 and 641

LCM of 633 and 641 is 405753

Least common multiple can be found by multiplying the highest exponent prime factors of 633 and 641. First we will calculate the prime factors of 633 and 641.

Prime Factorization of 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

Prime Factorization of 641


641 641
1

Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:

641 = 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 633 and 641.

LCM(633,641) = 31×2111×6411
LCM(633,641) = 405753

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1, 641

Least Common Multiple of 633 and 641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 633 and 641, than apply into the LCM equation.

GCF(633,641) = 1
LCM(633,641) = ( 633 × 641) / 1
LCM(633,641) = 405753 / 1
LCM(633,641) = 405753

Properties of LCM 633 and 641

(i) The LCM of 641 and 633 is associative

LCM of 633 and 641 = LCM of 641 and 633

Related Least Common Multiples of 633

Related Least Common Multiples of 641

Frequently Asked Questions on LCM of 633 and 641

1. What is the LCM of 633 and 641?

Answer: LCM of 633 and 641 is 405753.

2. What are the Factors of 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

3. What are the Factors of 641?

Answer: Factors of 641 are 1, 641. There are 2 integers that are factors of 641. The greatest factor of 641 is 641.

4. How to Find the LCM of 633 and 641?

Answer:

Least Common Multiple of 633 and 641 = 405753

Step 1: Find the prime factorization of 633

633 = 3 x 211

Step 2: Find the prime factorization of 641

641 = 641

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

LCM = 405753 = 3 x 211 x 641

Step 4: Therefore, the least common multiple of 633 and 641 is 405753.