Least Common Multiple of 635 and 640

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 640 the smallest integer that is 81280 that is divisible by both numbers.

Least Common Multiple (LCM) of 635 and 640 is 81280.

LCM(635,640) = 81280

LCM of 635 and 640

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

LCM of:
and

Least Common Multiple of 635 and 640

LCM of 635 and 640 is 81280

Least common multiple can be found by multiplying the highest exponent prime factors of 635 and 640. First we will calculate the prime factors of 635 and 640.

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 640


2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 640 are 2,5. Prime factorization of 640 in exponential form is:

640 = 27×51

Now multiplying the highest exponent prime factors to calculate the LCM of 635 and 640.

LCM(635,640) = 27×51×1271
LCM(635,640) = 81280

Factors of 635

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

1, 5, 127, 635

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Least Common Multiple of 635 and 640 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 640, than apply into the LCM equation.

GCF(635,640) = 5
LCM(635,640) = ( 635 × 640) / 5
LCM(635,640) = 406400 / 5
LCM(635,640) = 81280

Properties of LCM 635 and 640

(i) The LCM of 640 and 635 is associative

LCM of 635 and 640 = LCM of 640 and 635

Related Least Common Multiples of 635

Related Least Common Multiples of 640

Frequently Asked Questions on LCM of 635 and 640

1. What is the LCM of 635 and 640?

Answer: LCM of 635 and 640 is 81280.

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 640?

Answer: Factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640. There are 16 integers that are factors of 640. The greatest factor of 640 is 640.

4. How to Find the LCM of 635 and 640?

Answer:

Least Common Multiple of 635 and 640 = 81280

Step 1: Find the prime factorization of 635

635 = 5 x 127

Step 2: Find the prime factorization of 640

640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 81280 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 127

Step 4: Therefore, the least common multiple of 635 and 640 is 81280.