Least Common Multiple of 673 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 673 and 681 the smallest integer that is 458313 that is divisible by both numbers.

Least Common Multiple (LCM) of 673 and 681 is 458313.

LCM(673,681) = 458313

LCM of 673 and 681

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

LCM of:
and

Least Common Multiple of 673 and 681

LCM of 673 and 681 is 458313

Least common multiple can be found by multiplying the highest exponent prime factors of 673 and 681. First we will calculate the prime factors of 673 and 681.

Prime Factorization of 673


673 673
1

Prime factors of 673 are 673. Prime factorization of 673 in exponential form is:

673 = 6731

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 673 and 681.

LCM(673,681) = 31×2271×6731
LCM(673,681) = 458313

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1, 673

Factors of 681

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

1, 3, 227, 681

Least Common Multiple of 673 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 673 and 681, than apply into the LCM equation.

GCF(673,681) = 1
LCM(673,681) = ( 673 × 681) / 1
LCM(673,681) = 458313 / 1
LCM(673,681) = 458313

Properties of LCM 673 and 681

(i) The LCM of 681 and 673 is associative

LCM of 673 and 681 = LCM of 681 and 673

Related Least Common Multiples of 673

Related Least Common Multiples of 681

Frequently Asked Questions on LCM of 673 and 681

1. What is the LCM of 673 and 681?

Answer: LCM of 673 and 681 is 458313.

2. What are the Factors of 673?

Answer: Factors of 673 are 1, 673. There are 2 integers that are factors of 673. The greatest factor of 673 is 673.

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 673 and 681?

Answer:

Least Common Multiple of 673 and 681 = 458313

Step 1: Find the prime factorization of 673

673 = 673

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 = 458313 = 3 x 227 x 673

Step 4: Therefore, the least common multiple of 673 and 681 is 458313.