Least Common Multiple of 681 and 688

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 688 the smallest integer that is 468528 that is divisible by both numbers.

Least Common Multiple (LCM) of 681 and 688 is 468528.

LCM(681,688) = 468528

LCM of 681 and 688

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

LCM of:
and

Least Common Multiple of 681 and 688

LCM of 681 and 688 is 468528

Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 688. First we will calculate the prime factors of 681 and 688.

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 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

Now multiplying the highest exponent prime factors to calculate the LCM of 681 and 688.

LCM(681,688) = 24×31×431×2271
LCM(681,688) = 468528

Factors of 681

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

1, 3, 227, 681

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Least Common Multiple of 681 and 688 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 688, than apply into the LCM equation.

GCF(681,688) = 1
LCM(681,688) = ( 681 × 688) / 1
LCM(681,688) = 468528 / 1
LCM(681,688) = 468528

Properties of LCM 681 and 688

(i) The LCM of 688 and 681 is associative

LCM of 681 and 688 = LCM of 688 and 681

Related Least Common Multiples of 681

Related Least Common Multiples of 688

Frequently Asked Questions on LCM of 681 and 688

1. What is the LCM of 681 and 688?

Answer: LCM of 681 and 688 is 468528.

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 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

4. How to Find the LCM of 681 and 688?

Answer:

Least Common Multiple of 681 and 688 = 468528

Step 1: Find the prime factorization of 681

681 = 3 x 227

Step 2: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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

LCM = 468528 = 2 x 2 x 2 x 2 x 3 x 43 x 227

Step 4: Therefore, the least common multiple of 681 and 688 is 468528.