Least Common Multiple of 678 and 686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 678 and 686 the smallest integer that is 232554 that is divisible by both numbers.

Least Common Multiple (LCM) of 678 and 686 is 232554.

LCM(678,686) = 232554

LCM of 678 and 686

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

LCM of:
and

Least Common Multiple of 678 and 686

LCM of 678 and 686 is 232554

Least common multiple can be found by multiplying the highest exponent prime factors of 678 and 686. First we will calculate the prime factors of 678 and 686.

Prime Factorization of 678


2 678
3 339
113 113
1

Prime factors of 678 are 2, 3,113. Prime factorization of 678 in exponential form is:

678 = 21×31×1131

Prime Factorization of 686


2 686
7 343
7 49
7 7
1

Prime factors of 686 are 2,7. Prime factorization of 686 in exponential form is:

686 = 21×73

Now multiplying the highest exponent prime factors to calculate the LCM of 678 and 686.

LCM(678,686) = 21×31×73×1131
LCM(678,686) = 232554

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Least Common Multiple of 678 and 686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 678 and 686, than apply into the LCM equation.

GCF(678,686) = 2
LCM(678,686) = ( 678 × 686) / 2
LCM(678,686) = 465108 / 2
LCM(678,686) = 232554

Properties of LCM 678 and 686

(i) The LCM of 686 and 678 is associative

LCM of 678 and 686 = LCM of 686 and 678

Related Least Common Multiples of 678

Related Least Common Multiples of 686

Frequently Asked Questions on LCM of 678 and 686

1. What is the LCM of 678 and 686?

Answer: LCM of 678 and 686 is 232554.

2. What are the Factors of 678?

Answer: Factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678. There are 8 integers that are factors of 678. The greatest factor of 678 is 678.

3. What are the Factors of 686?

Answer: Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. There are 8 integers that are factors of 686. The greatest factor of 686 is 686.

4. How to Find the LCM of 678 and 686?

Answer:

Least Common Multiple of 678 and 686 = 232554

Step 1: Find the prime factorization of 678

678 = 2 x 3 x 113

Step 2: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

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

LCM = 232554 = 2 x 3 x 7 x 7 x 7 x 113

Step 4: Therefore, the least common multiple of 678 and 686 is 232554.