Least Common Multiple of 637 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 637 and 640 the smallest integer that is 407680 that is divisible by both numbers.

Least Common Multiple (LCM) of 637 and 640 is 407680.

LCM(637,640) = 407680

LCM of 637 and 640

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

LCM of:
and

Least Common Multiple of 637 and 640

LCM of 637 and 640 is 407680

Least common multiple can be found by multiplying the highest exponent prime factors of 637 and 640. First we will calculate the prime factors of 637 and 640.

Prime Factorization of 637


7 637
7 91
13 13
1

Prime factors of 637 are 7,13. Prime factorization of 637 in exponential form is:

637 = 72×131

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 637 and 640.

LCM(637,640) = 27×51×72×131
LCM(637,640) = 407680

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

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 637 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 637 and 640, than apply into the LCM equation.

GCF(637,640) = 1
LCM(637,640) = ( 637 × 640) / 1
LCM(637,640) = 407680 / 1
LCM(637,640) = 407680

Properties of LCM 637 and 640

(i) The LCM of 640 and 637 is associative

LCM of 637 and 640 = LCM of 640 and 637

Related Least Common Multiples of 637

Related Least Common Multiples of 640

Frequently Asked Questions on LCM of 637 and 640

1. What is the LCM of 637 and 640?

Answer: LCM of 637 and 640 is 407680.

2. What are the Factors of 637?

Answer: Factors of 637 are 1, 7, 13, 49, 91, 637. There are 6 integers that are factors of 637. The greatest factor of 637 is 637.

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 637 and 640?

Answer:

Least Common Multiple of 637 and 640 = 407680

Step 1: Find the prime factorization of 637

637 = 7 x 7 x 13

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 = 407680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 13

Step 4: Therefore, the least common multiple of 637 and 640 is 407680.