Least Common Multiple of 685 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 685 and 688 the smallest integer that is 471280 that is divisible by both numbers.

Least Common Multiple (LCM) of 685 and 688 is 471280.

LCM(685,688) = 471280

LCM of 685 and 688

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

LCM of:
and

Least Common Multiple of 685 and 688

LCM of 685 and 688 is 471280

Least common multiple can be found by multiplying the highest exponent prime factors of 685 and 688. First we will calculate the prime factors of 685 and 688.

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 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 685 and 688.

LCM(685,688) = 24×51×431×1371
LCM(685,688) = 471280

Factors of 685

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

1, 5, 137, 685

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 685 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 685 and 688, than apply into the LCM equation.

GCF(685,688) = 1
LCM(685,688) = ( 685 × 688) / 1
LCM(685,688) = 471280 / 1
LCM(685,688) = 471280

Properties of LCM 685 and 688

(i) The LCM of 688 and 685 is associative

LCM of 685 and 688 = LCM of 688 and 685

Related Least Common Multiples of 685

Related Least Common Multiples of 688

Frequently Asked Questions on LCM of 685 and 688

1. What is the LCM of 685 and 688?

Answer: LCM of 685 and 688 is 471280.

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 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 685 and 688?

Answer:

Least Common Multiple of 685 and 688 = 471280

Step 1: Find the prime factorization of 685

685 = 5 x 137

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 = 471280 = 2 x 2 x 2 x 2 x 5 x 43 x 137

Step 4: Therefore, the least common multiple of 685 and 688 is 471280.