Least Common Multiple of 634 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 634 and 641 the smallest integer that is 406394 that is divisible by both numbers.

Least Common Multiple (LCM) of 634 and 641 is 406394.

LCM(634,641) = 406394

LCM of 634 and 641

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

LCM of:
and

Least Common Multiple of 634 and 641

LCM of 634 and 641 is 406394

Least common multiple can be found by multiplying the highest exponent prime factors of 634 and 641. First we will calculate the prime factors of 634 and 641.

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

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 634 and 641.

LCM(634,641) = 21×3171×6411
LCM(634,641) = 406394

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Factors of 641

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

1, 641

Least Common Multiple of 634 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 634 and 641, than apply into the LCM equation.

GCF(634,641) = 1
LCM(634,641) = ( 634 × 641) / 1
LCM(634,641) = 406394 / 1
LCM(634,641) = 406394

Properties of LCM 634 and 641

(i) The LCM of 641 and 634 is associative

LCM of 634 and 641 = LCM of 641 and 634

Related Least Common Multiples of 634

Related Least Common Multiples of 641

Frequently Asked Questions on LCM of 634 and 641

1. What is the LCM of 634 and 641?

Answer: LCM of 634 and 641 is 406394.

2. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

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 634 and 641?

Answer:

Least Common Multiple of 634 and 641 = 406394

Step 1: Find the prime factorization of 634

634 = 2 x 317

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 = 406394 = 2 x 317 x 641

Step 4: Therefore, the least common multiple of 634 and 641 is 406394.