Least Common Multiple of 685 and 690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 685 and 690 the smallest integer that is 94530 that is divisible by both numbers.

Least Common Multiple (LCM) of 685 and 690 is 94530.

LCM(685,690) = 94530

LCM of 685 and 690

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

LCM of:
and

Least Common Multiple of 685 and 690

LCM of 685 and 690 is 94530

Least common multiple can be found by multiplying the highest exponent prime factors of 685 and 690. First we will calculate the prime factors of 685 and 690.

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

Prime Factorization of 690


2 690
3 345
5 115
23 23
1

Prime factors of 690 are 2, 3, 5,23. Prime factorization of 690 in exponential form is:

690 = 21×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 685 and 690.

LCM(685,690) = 21×31×51×231×1371
LCM(685,690) = 94530

Factors of 685

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

1, 5, 137, 685

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Least Common Multiple of 685 and 690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 685 and 690, than apply into the LCM equation.

GCF(685,690) = 5
LCM(685,690) = ( 685 × 690) / 5
LCM(685,690) = 472650 / 5
LCM(685,690) = 94530

Properties of LCM 685 and 690

(i) The LCM of 690 and 685 is associative

LCM of 685 and 690 = LCM of 690 and 685

Related Least Common Multiples of 685

Related Least Common Multiples of 690

Frequently Asked Questions on LCM of 685 and 690

1. What is the LCM of 685 and 690?

Answer: LCM of 685 and 690 is 94530.

2. 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.

3. What are the Factors of 690?

Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.

4. How to Find the LCM of 685 and 690?

Answer:

Least Common Multiple of 685 and 690 = 94530

Step 1: Find the prime factorization of 685

685 = 5 x 137

Step 2: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

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

LCM = 94530 = 2 x 3 x 5 x 23 x 137

Step 4: Therefore, the least common multiple of 685 and 690 is 94530.