Least Common Multiple of 677 and 684

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 684 the smallest integer that is 463068 that is divisible by both numbers.

Least Common Multiple (LCM) of 677 and 684 is 463068.

LCM(677,684) = 463068

LCM of 677 and 684

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

LCM of:
and

Least Common Multiple of 677 and 684

LCM of 677 and 684 is 463068

Least common multiple can be found by multiplying the highest exponent prime factors of 677 and 684. First we will calculate the prime factors of 677 and 684.

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 684


2 684
2 342
3 171
3 57
19 19
1

Prime factors of 684 are 2, 3,19. Prime factorization of 684 in exponential form is:

684 = 22×32×191

Now multiplying the highest exponent prime factors to calculate the LCM of 677 and 684.

LCM(677,684) = 22×32×191×6771
LCM(677,684) = 463068

Factors of 677

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

1, 677

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Least Common Multiple of 677 and 684 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 684, than apply into the LCM equation.

GCF(677,684) = 1
LCM(677,684) = ( 677 × 684) / 1
LCM(677,684) = 463068 / 1
LCM(677,684) = 463068

Properties of LCM 677 and 684

(i) The LCM of 684 and 677 is associative

LCM of 677 and 684 = LCM of 684 and 677

Related Least Common Multiples of 677

Related Least Common Multiples of 684

Frequently Asked Questions on LCM of 677 and 684

1. What is the LCM of 677 and 684?

Answer: LCM of 677 and 684 is 463068.

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 684?

Answer: Factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684. There are 18 integers that are factors of 684. The greatest factor of 684 is 684.

4. How to Find the LCM of 677 and 684?

Answer:

Least Common Multiple of 677 and 684 = 463068

Step 1: Find the prime factorization of 677

677 = 677

Step 2: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

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

LCM = 463068 = 2 x 2 x 3 x 3 x 19 x 677

Step 4: Therefore, the least common multiple of 677 and 684 is 463068.