Least Common Multiple of 679 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 679 and 684 the smallest integer that is 464436 that is divisible by both numbers.

Least Common Multiple (LCM) of 679 and 684 is 464436.

LCM(679,684) = 464436

LCM of 679 and 684

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

LCM of:
and

Least Common Multiple of 679 and 684

LCM of 679 and 684 is 464436

Least common multiple can be found by multiplying the highest exponent prime factors of 679 and 684. First we will calculate the prime factors of 679 and 684.

Prime Factorization of 679


7 679
97 97
1

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 71×971

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 679 and 684.

LCM(679,684) = 22×32×71×191×971
LCM(679,684) = 464436

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1, 7, 97, 679

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 679 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 679 and 684, than apply into the LCM equation.

GCF(679,684) = 1
LCM(679,684) = ( 679 × 684) / 1
LCM(679,684) = 464436 / 1
LCM(679,684) = 464436

Properties of LCM 679 and 684

(i) The LCM of 684 and 679 is associative

LCM of 679 and 684 = LCM of 684 and 679

Related Least Common Multiples of 679

Related Least Common Multiples of 684

Frequently Asked Questions on LCM of 679 and 684

1. What is the LCM of 679 and 684?

Answer: LCM of 679 and 684 is 464436.

2. What are the Factors of 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

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 679 and 684?

Answer:

Least Common Multiple of 679 and 684 = 464436

Step 1: Find the prime factorization of 679

679 = 7 x 97

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 = 464436 = 2 x 2 x 3 x 3 x 7 x 19 x 97

Step 4: Therefore, the least common multiple of 679 and 684 is 464436.