Least Common Multiple of 685 and 693

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 693 the smallest integer that is 474705 that is divisible by both numbers.

Least Common Multiple (LCM) of 685 and 693 is 474705.

LCM(685,693) = 474705

LCM of 685 and 693

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

LCM of:
and

Least Common Multiple of 685 and 693

LCM of 685 and 693 is 474705

Least common multiple can be found by multiplying the highest exponent prime factors of 685 and 693. First we will calculate the prime factors of 685 and 693.

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 693


3 693
3 231
7 77
11 11
1

Prime factors of 693 are 3, 7,11. Prime factorization of 693 in exponential form is:

693 = 32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 685 and 693.

LCM(685,693) = 32×51×71×111×1371
LCM(685,693) = 474705

Factors of 685

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

1, 5, 137, 685

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Least Common Multiple of 685 and 693 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 693, than apply into the LCM equation.

GCF(685,693) = 1
LCM(685,693) = ( 685 × 693) / 1
LCM(685,693) = 474705 / 1
LCM(685,693) = 474705

Properties of LCM 685 and 693

(i) The LCM of 693 and 685 is associative

LCM of 685 and 693 = LCM of 693 and 685

Related Least Common Multiples of 685

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 685 and 693

1. What is the LCM of 685 and 693?

Answer: LCM of 685 and 693 is 474705.

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 693?

Answer: Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. There are 12 integers that are factors of 693. The greatest factor of 693 is 693.

4. How to Find the LCM of 685 and 693?

Answer:

Least Common Multiple of 685 and 693 = 474705

Step 1: Find the prime factorization of 685

685 = 5 x 137

Step 2: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

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

LCM = 474705 = 3 x 3 x 5 x 7 x 11 x 137

Step 4: Therefore, the least common multiple of 685 and 693 is 474705.