Least Common Multiple of 685 and 691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 685 and 691 the smallest integer that is 473335 that is divisible by both numbers.

Least Common Multiple (LCM) of 685 and 691 is 473335.

LCM(685,691) = 473335

LCM of 685 and 691

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

LCM of:
and

Least Common Multiple of 685 and 691

LCM of 685 and 691 is 473335

Least common multiple can be found by multiplying the highest exponent prime factors of 685 and 691. First we will calculate the prime factors of 685 and 691.

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

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 685 and 691.

LCM(685,691) = 51×1371×6911
LCM(685,691) = 473335

Factors of 685

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

1, 5, 137, 685

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1, 691

Least Common Multiple of 685 and 691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 685 and 691, than apply into the LCM equation.

GCF(685,691) = 1
LCM(685,691) = ( 685 × 691) / 1
LCM(685,691) = 473335 / 1
LCM(685,691) = 473335

Properties of LCM 685 and 691

(i) The LCM of 691 and 685 is associative

LCM of 685 and 691 = LCM of 691 and 685

Frequently Asked Questions on LCM of 685 and 691

1. What is the LCM of 685 and 691?

Answer: LCM of 685 and 691 is 473335.

2. 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.

3. What are the Factors of 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

4. How to Find the LCM of 685 and 691?

Answer:

Least Common Multiple of 685 and 691 = 473335

Step 1: Find the prime factorization of 685

685 = 5 x 137

Step 2: Find the prime factorization of 691

691 = 691

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

LCM = 473335 = 5 x 137 x 691

Step 4: Therefore, the least common multiple of 685 and 691 is 473335.