Least Common Multiple of 635 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 635 and 641 the smallest integer that is 407035 that is divisible by both numbers.

Least Common Multiple (LCM) of 635 and 641 is 407035.

LCM(635,641) = 407035

LCM of 635 and 641

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

LCM of:
and

Least Common Multiple of 635 and 641

LCM of 635 and 641 is 407035

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 641. First we will calculate the prime factors of 635 and 641.

Prime Factorization of 635


5 635
127 127
1

Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:

635 = 51×1271

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 635 and 641.

LCM(635,641) = 51×1271×6411
LCM(635,641) = 407035

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Factors of 641

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

1, 641

Least Common Multiple of 635 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 635 and 641, than apply into the LCM equation.

GCF(635,641) = 1
LCM(635,641) = ( 635 × 641) / 1
LCM(635,641) = 407035 / 1
LCM(635,641) = 407035

Properties of LCM 635 and 641

(i) The LCM of 641 and 635 is associative

LCM of 635 and 641 = LCM of 641 and 635

Related Least Common Multiples of 635

Related Least Common Multiples of 641

Frequently Asked Questions on LCM of 635 and 641

1. What is the LCM of 635 and 641?

Answer: LCM of 635 and 641 is 407035.

2. What are the Factors of 635?

Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.

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 635 and 641?

Answer:

Least Common Multiple of 635 and 641 = 407035

Step 1: Find the prime factorization of 635

635 = 5 x 127

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 = 407035 = 5 x 127 x 641

Step 4: Therefore, the least common multiple of 635 and 641 is 407035.