Least Common Multiple of 673 and 677

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 677 the smallest integer that is 455621 that is divisible by both numbers.

Least Common Multiple (LCM) of 673 and 677 is 455621.

LCM(673,677) = 455621

LCM of 673 and 677

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

LCM of:
and

Least Common Multiple of 673 and 677

LCM of 673 and 677 is 455621

Least common multiple can be found by multiplying the highest exponent prime factors of 673 and 677. First we will calculate the prime factors of 673 and 677.

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 677


677 677
1

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

677 = 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 673 and 677.

LCM(673,677) = 6731×6771
LCM(673,677) = 455621

Factors of 673

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

1, 673

Factors of 677

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

1, 677

Least Common Multiple of 673 and 677 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 677, than apply into the LCM equation.

GCF(673,677) = 1
LCM(673,677) = ( 673 × 677) / 1
LCM(673,677) = 455621 / 1
LCM(673,677) = 455621

Properties of LCM 673 and 677

(i) The LCM of 677 and 673 is associative

LCM of 673 and 677 = LCM of 677 and 673

Related Least Common Multiples of 673

Related Least Common Multiples of 677

Frequently Asked Questions on LCM of 673 and 677

1. What is the LCM of 673 and 677?

Answer: LCM of 673 and 677 is 455621.

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 677?

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

4. How to Find the LCM of 673 and 677?

Answer:

Least Common Multiple of 673 and 677 = 455621

Step 1: Find the prime factorization of 673

673 = 673

Step 2: Find the prime factorization of 677

677 = 677

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

LCM = 455621 = 673 x 677

Step 4: Therefore, the least common multiple of 673 and 677 is 455621.