Least Common Multiple of 677 and 679

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 679 the smallest integer that is 459683 that is divisible by both numbers.

Least Common Multiple (LCM) of 677 and 679 is 459683.

LCM(677,679) = 459683

LCM of 677 and 679

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

LCM of:
and

Least Common Multiple of 677 and 679

LCM of 677 and 679 is 459683

Least common multiple can be found by multiplying the highest exponent prime factors of 677 and 679. First we will calculate the prime factors of 677 and 679.

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 679


7 679
97 97
1

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 677 and 679.

LCM(677,679) = 71×971×6771
LCM(677,679) = 459683

Factors of 677

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

1, 677

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Least Common Multiple of 677 and 679 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 679, than apply into the LCM equation.

GCF(677,679) = 1
LCM(677,679) = ( 677 × 679) / 1
LCM(677,679) = 459683 / 1
LCM(677,679) = 459683

Properties of LCM 677 and 679

(i) The LCM of 679 and 677 is associative

LCM of 677 and 679 = LCM of 679 and 677

Related Least Common Multiples of 677

Related Least Common Multiples of 679

Frequently Asked Questions on LCM of 677 and 679

1. What is the LCM of 677 and 679?

Answer: LCM of 677 and 679 is 459683.

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 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

4. How to Find the LCM of 677 and 679?

Answer:

Least Common Multiple of 677 and 679 = 459683

Step 1: Find the prime factorization of 677

677 = 677

Step 2: Find the prime factorization of 679

679 = 7 x 97

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

LCM = 459683 = 7 x 97 x 677

Step 4: Therefore, the least common multiple of 677 and 679 is 459683.