Least Common Multiple of 678 and 683

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 683 the smallest integer that is 463074 that is divisible by both numbers.

Least Common Multiple (LCM) of 678 and 683 is 463074.

LCM(678,683) = 463074

LCM of 678 and 683

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

LCM of:
and

Least Common Multiple of 678 and 683

LCM of 678 and 683 is 463074

Least common multiple can be found by multiplying the highest exponent prime factors of 678 and 683. First we will calculate the prime factors of 678 and 683.

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 683


683 683
1

Prime factors of 683 are 683. Prime factorization of 683 in exponential form is:

683 = 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 678 and 683.

LCM(678,683) = 21×31×1131×6831
LCM(678,683) = 463074

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 683

List of positive integer factors of 683 that divides 683 without a remainder.

1, 683

Least Common Multiple of 678 and 683 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 683, than apply into the LCM equation.

GCF(678,683) = 1
LCM(678,683) = ( 678 × 683) / 1
LCM(678,683) = 463074 / 1
LCM(678,683) = 463074

Properties of LCM 678 and 683

(i) The LCM of 683 and 678 is associative

LCM of 678 and 683 = LCM of 683 and 678

Related Least Common Multiples of 678

Related Least Common Multiples of 683

Frequently Asked Questions on LCM of 678 and 683

1. What is the LCM of 678 and 683?

Answer: LCM of 678 and 683 is 463074.

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 683?

Answer: Factors of 683 are 1, 683. There are 2 integers that are factors of 683. The greatest factor of 683 is 683.

4. How to Find the LCM of 678 and 683?

Answer:

Least Common Multiple of 678 and 683 = 463074

Step 1: Find the prime factorization of 678

678 = 2 x 3 x 113

Step 2: Find the prime factorization of 683

683 = 683

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

LCM = 463074 = 2 x 3 x 113 x 683

Step 4: Therefore, the least common multiple of 678 and 683 is 463074.