Least Common Multiple of 677 and 678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 677 and 678 the smallest integer that is 459006 that is divisible by both numbers.

Least Common Multiple (LCM) of 677 and 678 is 459006.

LCM(677,678) = 459006

LCM of 677 and 678

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

LCM of:
and

Least Common Multiple of 677 and 678

LCM of 677 and 678 is 459006

Least common multiple can be found by multiplying the highest exponent prime factors of 677 and 678. First we will calculate the prime factors of 677 and 678.

Prime Factorization of 677


677 677
1

Prime factors of 677 are 677. Prime factorization of 677 in exponential form is:

677 = 6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 677 and 678.

LCM(677,678) = 21×31×1131×6771
LCM(677,678) = 459006

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1, 677

Factors of 678

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

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

Least Common Multiple of 677 and 678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 677 and 678, than apply into the LCM equation.

GCF(677,678) = 1
LCM(677,678) = ( 677 × 678) / 1
LCM(677,678) = 459006 / 1
LCM(677,678) = 459006

Properties of LCM 677 and 678

(i) The LCM of 678 and 677 is associative

LCM of 677 and 678 = LCM of 678 and 677

Related Least Common Multiples of 677

Related Least Common Multiples of 678

Frequently Asked Questions on LCM of 677 and 678

1. What is the LCM of 677 and 678?

Answer: LCM of 677 and 678 is 459006.

2. What are the Factors of 677?

Answer: Factors of 677 are 1, 677. There are 2 integers that are factors of 677. The greatest factor of 677 is 677.

3. 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.

4. How to Find the LCM of 677 and 678?

Answer:

Least Common Multiple of 677 and 678 = 459006

Step 1: Find the prime factorization of 677

677 = 677

Step 2: Find the prime factorization of 678

678 = 2 x 3 x 113

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

LCM = 459006 = 2 x 3 x 113 x 677

Step 4: Therefore, the least common multiple of 677 and 678 is 459006.