Least Common Multiple of 8685 and 8693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8685 and 8693 the smallest integer that is 75498705 that is divisible by both numbers.

Least Common Multiple (LCM) of 8685 and 8693 is 75498705.

LCM(8685,8693) = 75498705

LCM of 8685 and 8693

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

LCM of:
and

Least Common Multiple of 8685 and 8693

LCM of 8685 and 8693 is 75498705

Least common multiple can be found by multiplying the highest exponent prime factors of 8685 and 8693. First we will calculate the prime factors of 8685 and 8693.

Prime Factorization of 8685


3 8685
3 2895
5 965
193 193
1

Prime factors of 8685 are 3, 5,193. Prime factorization of 8685 in exponential form is:

8685 = 32×51×1931

Prime Factorization of 8693


8693 8693
1

Prime factors of 8693 are 8693. Prime factorization of 8693 in exponential form is:

8693 = 86931

Now multiplying the highest exponent prime factors to calculate the LCM of 8685 and 8693.

LCM(8685,8693) = 32×51×1931×86931
LCM(8685,8693) = 75498705

Factors of 8685

List of positive integer factors of 8685 that divides 8685 without a remainder.

1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685

Factors of 8693

List of positive integer factors of 8693 that divides 8693 without a remainder.

1, 8693

Least Common Multiple of 8685 and 8693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8685 and 8693, than apply into the LCM equation.

GCF(8685,8693) = 1
LCM(8685,8693) = ( 8685 × 8693) / 1
LCM(8685,8693) = 75498705 / 1
LCM(8685,8693) = 75498705

Properties of LCM 8685 and 8693

(i) The LCM of 8693 and 8685 is associative

LCM of 8685 and 8693 = LCM of 8693 and 8685

Related Least Common Multiples of 8685

Related Least Common Multiples of 8693

Frequently Asked Questions on LCM of 8685 and 8693

1. What is the LCM of 8685 and 8693?

Answer: LCM of 8685 and 8693 is 75498705.

2. What are the Factors of 8685?

Answer: Factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685. There are 12 integers that are factors of 8685. The greatest factor of 8685 is 8685.

3. What are the Factors of 8693?

Answer: Factors of 8693 are 1, 8693. There are 2 integers that are factors of 8693. The greatest factor of 8693 is 8693.

4. How to Find the LCM of 8685 and 8693?

Answer:

Least Common Multiple of 8685 and 8693 = 75498705

Step 1: Find the prime factorization of 8685

8685 = 3 x 3 x 5 x 193

Step 2: Find the prime factorization of 8693

8693 = 8693

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

LCM = 75498705 = 3 x 3 x 5 x 193 x 8693

Step 4: Therefore, the least common multiple of 8685 and 8693 is 75498705.