Least Common Multiple of 679 and 685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 679 and 685 the smallest integer that is 465115 that is divisible by both numbers.

Least Common Multiple (LCM) of 679 and 685 is 465115.

LCM(679,685) = 465115

LCM of 679 and 685

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

LCM of:
and

Least Common Multiple of 679 and 685

LCM of 679 and 685 is 465115

Least common multiple can be found by multiplying the highest exponent prime factors of 679 and 685. First we will calculate the prime factors of 679 and 685.

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

Prime Factorization of 685


5 685
137 137
1

Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:

685 = 51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 679 and 685.

LCM(679,685) = 51×71×971×1371
LCM(679,685) = 465115

Factors of 679

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

1, 7, 97, 679

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Least Common Multiple of 679 and 685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 679 and 685, than apply into the LCM equation.

GCF(679,685) = 1
LCM(679,685) = ( 679 × 685) / 1
LCM(679,685) = 465115 / 1
LCM(679,685) = 465115

Properties of LCM 679 and 685

(i) The LCM of 685 and 679 is associative

LCM of 679 and 685 = LCM of 685 and 679

Related Least Common Multiples of 679

Related Least Common Multiples of 685

Frequently Asked Questions on LCM of 679 and 685

1. What is the LCM of 679 and 685?

Answer: LCM of 679 and 685 is 465115.

2. 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.

3. What are the Factors of 685?

Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.

4. How to Find the LCM of 679 and 685?

Answer:

Least Common Multiple of 679 and 685 = 465115

Step 1: Find the prime factorization of 679

679 = 7 x 97

Step 2: Find the prime factorization of 685

685 = 5 x 137

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

LCM = 465115 = 5 x 7 x 97 x 137

Step 4: Therefore, the least common multiple of 679 and 685 is 465115.