Least Common Multiple of 8279 and 8285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8279 and 8285 the smallest integer that is 68591515 that is divisible by both numbers.

Least Common Multiple (LCM) of 8279 and 8285 is 68591515.

LCM(8279,8285) = 68591515

LCM of 8279 and 8285

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

LCM of:
and

Least Common Multiple of 8279 and 8285

LCM of 8279 and 8285 is 68591515

Least common multiple can be found by multiplying the highest exponent prime factors of 8279 and 8285. First we will calculate the prime factors of 8279 and 8285.

Prime Factorization of 8279


17 8279
487 487
1

Prime factors of 8279 are 17,487. Prime factorization of 8279 in exponential form is:

8279 = 171×4871

Prime Factorization of 8285


5 8285
1657 1657
1

Prime factors of 8285 are 5,1657. Prime factorization of 8285 in exponential form is:

8285 = 51×16571

Now multiplying the highest exponent prime factors to calculate the LCM of 8279 and 8285.

LCM(8279,8285) = 51×171×4871×16571
LCM(8279,8285) = 68591515

Factors of 8279

List of positive integer factors of 8279 that divides 8279 without a remainder.

1, 17, 487, 8279

Factors of 8285

List of positive integer factors of 8285 that divides 8285 without a remainder.

1, 5, 1657, 8285

Least Common Multiple of 8279 and 8285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8279 and 8285, than apply into the LCM equation.

GCF(8279,8285) = 1
LCM(8279,8285) = ( 8279 × 8285) / 1
LCM(8279,8285) = 68591515 / 1
LCM(8279,8285) = 68591515

Properties of LCM 8279 and 8285

(i) The LCM of 8285 and 8279 is associative

LCM of 8279 and 8285 = LCM of 8285 and 8279

Related Least Common Multiples of 8279

Related Least Common Multiples of 8285

Frequently Asked Questions on LCM of 8279 and 8285

1. What is the LCM of 8279 and 8285?

Answer: LCM of 8279 and 8285 is 68591515.

2. What are the Factors of 8279?

Answer: Factors of 8279 are 1, 17, 487, 8279. There are 4 integers that are factors of 8279. The greatest factor of 8279 is 8279.

3. What are the Factors of 8285?

Answer: Factors of 8285 are 1, 5, 1657, 8285. There are 4 integers that are factors of 8285. The greatest factor of 8285 is 8285.

4. How to Find the LCM of 8279 and 8285?

Answer:

Least Common Multiple of 8279 and 8285 = 68591515

Step 1: Find the prime factorization of 8279

8279 = 17 x 487

Step 2: Find the prime factorization of 8285

8285 = 5 x 1657

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

LCM = 68591515 = 5 x 17 x 487 x 1657

Step 4: Therefore, the least common multiple of 8279 and 8285 is 68591515.