Least Common Multiple of 678 and 682

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 682 the smallest integer that is 231198 that is divisible by both numbers.

Least Common Multiple (LCM) of 678 and 682 is 231198.

LCM(678,682) = 231198

LCM of 678 and 682

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

LCM of:
and

Least Common Multiple of 678 and 682

LCM of 678 and 682 is 231198

Least common multiple can be found by multiplying the highest exponent prime factors of 678 and 682. First we will calculate the prime factors of 678 and 682.

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 682


2 682
11 341
31 31
1

Prime factors of 682 are 2, 11,31. Prime factorization of 682 in exponential form is:

682 = 21×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 678 and 682.

LCM(678,682) = 21×31×111×311×1131
LCM(678,682) = 231198

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 682

List of positive integer factors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Least Common Multiple of 678 and 682 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 682, than apply into the LCM equation.

GCF(678,682) = 2
LCM(678,682) = ( 678 × 682) / 2
LCM(678,682) = 462396 / 2
LCM(678,682) = 231198

Properties of LCM 678 and 682

(i) The LCM of 682 and 678 is associative

LCM of 678 and 682 = LCM of 682 and 678

Related Least Common Multiples of 678

Related Least Common Multiples of 682

Frequently Asked Questions on LCM of 678 and 682

1. What is the LCM of 678 and 682?

Answer: LCM of 678 and 682 is 231198.

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 682?

Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.

4. How to Find the LCM of 678 and 682?

Answer:

Least Common Multiple of 678 and 682 = 231198

Step 1: Find the prime factorization of 678

678 = 2 x 3 x 113

Step 2: Find the prime factorization of 682

682 = 2 x 11 x 31

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

LCM = 231198 = 2 x 3 x 11 x 31 x 113

Step 4: Therefore, the least common multiple of 678 and 682 is 231198.