Least Common Multiple of 673 and 680

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 680 the smallest integer that is 457640 that is divisible by both numbers.

Least Common Multiple (LCM) of 673 and 680 is 457640.

LCM(673,680) = 457640

LCM of 673 and 680

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

LCM of:
and

Least Common Multiple of 673 and 680

LCM of 673 and 680 is 457640

Least common multiple can be found by multiplying the highest exponent prime factors of 673 and 680. First we will calculate the prime factors of 673 and 680.

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 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2, 5,17. Prime factorization of 680 in exponential form is:

680 = 23×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 673 and 680.

LCM(673,680) = 23×51×171×6731
LCM(673,680) = 457640

Factors of 673

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

1, 673

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Least Common Multiple of 673 and 680 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 680, than apply into the LCM equation.

GCF(673,680) = 1
LCM(673,680) = ( 673 × 680) / 1
LCM(673,680) = 457640 / 1
LCM(673,680) = 457640

Properties of LCM 673 and 680

(i) The LCM of 680 and 673 is associative

LCM of 673 and 680 = LCM of 680 and 673

Related Least Common Multiples of 673

Related Least Common Multiples of 680

Frequently Asked Questions on LCM of 673 and 680

1. What is the LCM of 673 and 680?

Answer: LCM of 673 and 680 is 457640.

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 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

4. How to Find the LCM of 673 and 680?

Answer:

Least Common Multiple of 673 and 680 = 457640

Step 1: Find the prime factorization of 673

673 = 673

Step 2: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

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

LCM = 457640 = 2 x 2 x 2 x 5 x 17 x 673

Step 4: Therefore, the least common multiple of 673 and 680 is 457640.