Least Common Multiple of 678 and 681

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 681 the smallest integer that is 153906 that is divisible by both numbers.

Least Common Multiple (LCM) of 678 and 681 is 153906.

LCM(678,681) = 153906

LCM of 678 and 681

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

LCM of:
and

Least Common Multiple of 678 and 681

LCM of 678 and 681 is 153906

Least common multiple can be found by multiplying the highest exponent prime factors of 678 and 681. First we will calculate the prime factors of 678 and 681.

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 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 678 and 681.

LCM(678,681) = 21×31×1131×2271
LCM(678,681) = 153906

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 681

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

1, 3, 227, 681

Least Common Multiple of 678 and 681 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 681, than apply into the LCM equation.

GCF(678,681) = 3
LCM(678,681) = ( 678 × 681) / 3
LCM(678,681) = 461718 / 3
LCM(678,681) = 153906

Properties of LCM 678 and 681

(i) The LCM of 681 and 678 is associative

LCM of 678 and 681 = LCM of 681 and 678

Related Least Common Multiples of 678

Related Least Common Multiples of 681

Frequently Asked Questions on LCM of 678 and 681

1. What is the LCM of 678 and 681?

Answer: LCM of 678 and 681 is 153906.

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 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.

4. How to Find the LCM of 678 and 681?

Answer:

Least Common Multiple of 678 and 681 = 153906

Step 1: Find the prime factorization of 678

678 = 2 x 3 x 113

Step 2: Find the prime factorization of 681

681 = 3 x 227

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

LCM = 153906 = 2 x 3 x 113 x 227

Step 4: Therefore, the least common multiple of 678 and 681 is 153906.