Least Common Multiple of 681 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 681 and 685 the smallest integer that is 466485 that is divisible by both numbers.

Least Common Multiple (LCM) of 681 and 685 is 466485.

LCM(681,685) = 466485

LCM of 681 and 685

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

LCM of:
and

Least Common Multiple of 681 and 685

LCM of 681 and 685 is 466485

Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 685. First we will calculate the prime factors of 681 and 685.

Prime Factorization of 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

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 681 and 685.

LCM(681,685) = 31×51×1371×2271
LCM(681,685) = 466485

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Factors of 685

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

1, 5, 137, 685

Least Common Multiple of 681 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 681 and 685, than apply into the LCM equation.

GCF(681,685) = 1
LCM(681,685) = ( 681 × 685) / 1
LCM(681,685) = 466485 / 1
LCM(681,685) = 466485

Properties of LCM 681 and 685

(i) The LCM of 685 and 681 is associative

LCM of 681 and 685 = LCM of 685 and 681

Related Least Common Multiples of 681

Related Least Common Multiples of 685

Frequently Asked Questions on LCM of 681 and 685

1. What is the LCM of 681 and 685?

Answer: LCM of 681 and 685 is 466485.

2. What are the Factors of 681?

Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.

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 681 and 685?

Answer:

Least Common Multiple of 681 and 685 = 466485

Step 1: Find the prime factorization of 681

681 = 3 x 227

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 = 466485 = 3 x 5 x 137 x 227

Step 4: Therefore, the least common multiple of 681 and 685 is 466485.