Least Common Multiple of 684 and 685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 684 and 685 the smallest integer that is 468540 that is divisible by both numbers.

Least Common Multiple (LCM) of 684 and 685 is 468540.

LCM(684,685) = 468540

LCM of 684 and 685

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

LCM of:
and

Least Common Multiple of 684 and 685

LCM of 684 and 685 is 468540

Least common multiple can be found by multiplying the highest exponent prime factors of 684 and 685. First we will calculate the prime factors of 684 and 685.

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

Prime Factorization of 685


5 685
137 137
1

Prime factors of 685 are 5,137. Prime factorization of 685 in exponential form is:

685 = 51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 684 and 685.

LCM(684,685) = 22×32×51×191×1371
LCM(684,685) = 468540

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

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Least Common Multiple of 684 and 685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 684 and 685, than apply into the LCM equation.

GCF(684,685) = 1
LCM(684,685) = ( 684 × 685) / 1
LCM(684,685) = 468540 / 1
LCM(684,685) = 468540

Properties of LCM 684 and 685

(i) The LCM of 685 and 684 is associative

LCM of 684 and 685 = LCM of 685 and 684

Related Least Common Multiples of 684

Related Least Common Multiples of 685

Frequently Asked Questions on LCM of 684 and 685

1. What is the LCM of 684 and 685?

Answer: LCM of 684 and 685 is 468540.

2. 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.

3. What are the Factors of 685?

Answer: Factors of 685 are 1, 5, 137, 685. There are 4 integers that are factors of 685. The greatest factor of 685 is 685.

4. How to Find the LCM of 684 and 685?

Answer:

Least Common Multiple of 684 and 685 = 468540

Step 1: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 685

685 = 5 x 137

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

LCM = 468540 = 2 x 2 x 3 x 3 x 5 x 19 x 137

Step 4: Therefore, the least common multiple of 684 and 685 is 468540.