Least Common Multiple of 677 and 681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 677 and 681 the smallest integer that is 461037 that is divisible by both numbers.

Least Common Multiple (LCM) of 677 and 681 is 461037.

LCM(677,681) = 461037

LCM of 677 and 681

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

LCM of:
and

Least Common Multiple of 677 and 681

LCM of 677 and 681 is 461037

Least common multiple can be found by multiplying the highest exponent prime factors of 677 and 681. First we will calculate the prime factors of 677 and 681.

Prime Factorization of 677


677 677
1

Prime factors of 677 are 677. Prime factorization of 677 in exponential form is:

677 = 6771

Prime Factorization of 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 677 and 681.

LCM(677,681) = 31×2271×6771
LCM(677,681) = 461037

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1, 677

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Least Common Multiple of 677 and 681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 677 and 681, than apply into the LCM equation.

GCF(677,681) = 1
LCM(677,681) = ( 677 × 681) / 1
LCM(677,681) = 461037 / 1
LCM(677,681) = 461037

Properties of LCM 677 and 681

(i) The LCM of 681 and 677 is associative

LCM of 677 and 681 = LCM of 681 and 677

Related Least Common Multiples of 677

Related Least Common Multiples of 681

Frequently Asked Questions on LCM of 677 and 681

1. What is the LCM of 677 and 681?

Answer: LCM of 677 and 681 is 461037.

2. What are the Factors of 677?

Answer: Factors of 677 are 1, 677. There are 2 integers that are factors of 677. The greatest factor of 677 is 677.

3. What are the Factors of 681?

Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.

4. How to Find the LCM of 677 and 681?

Answer:

Least Common Multiple of 677 and 681 = 461037

Step 1: Find the prime factorization of 677

677 = 677

Step 2: Find the prime factorization of 681

681 = 3 x 227

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

LCM = 461037 = 3 x 227 x 677

Step 4: Therefore, the least common multiple of 677 and 681 is 461037.