Least Common Multiple of 638 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 638 and 641 the smallest integer that is 408958 that is divisible by both numbers.

Least Common Multiple (LCM) of 638 and 641 is 408958.

LCM(638,641) = 408958

LCM of 638 and 641

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

LCM of:
and

Least Common Multiple of 638 and 641

LCM of 638 and 641 is 408958

Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 641. First we will calculate the prime factors of 638 and 641.

Prime Factorization of 638


2 638
11 319
29 29
1

Prime factors of 638 are 2, 11,29. Prime factorization of 638 in exponential form is:

638 = 21×111×291

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 638 and 641.

LCM(638,641) = 21×111×291×6411
LCM(638,641) = 408958

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Factors of 641

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

1, 641

Least Common Multiple of 638 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 638 and 641, than apply into the LCM equation.

GCF(638,641) = 1
LCM(638,641) = ( 638 × 641) / 1
LCM(638,641) = 408958 / 1
LCM(638,641) = 408958

Properties of LCM 638 and 641

(i) The LCM of 641 and 638 is associative

LCM of 638 and 641 = LCM of 641 and 638

Related Least Common Multiples of 638

Related Least Common Multiples of 641

Frequently Asked Questions on LCM of 638 and 641

1. What is the LCM of 638 and 641?

Answer: LCM of 638 and 641 is 408958.

2. What are the Factors of 638?

Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.

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 638 and 641?

Answer:

Least Common Multiple of 638 and 641 = 408958

Step 1: Find the prime factorization of 638

638 = 2 x 11 x 29

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 = 408958 = 2 x 11 x 29 x 641

Step 4: Therefore, the least common multiple of 638 and 641 is 408958.