Least Common Multiple of 8351 and 8355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8351 and 8355 the smallest integer that is 69772605 that is divisible by both numbers.

Least Common Multiple (LCM) of 8351 and 8355 is 69772605.

LCM(8351,8355) = 69772605

LCM of 8351 and 8355

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

LCM of:
and

Least Common Multiple of 8351 and 8355

LCM of 8351 and 8355 is 69772605

Least common multiple can be found by multiplying the highest exponent prime factors of 8351 and 8355. First we will calculate the prime factors of 8351 and 8355.

Prime Factorization of 8351


7 8351
1193 1193
1

Prime factors of 8351 are 7,1193. Prime factorization of 8351 in exponential form is:

8351 = 71×11931

Prime Factorization of 8355


3 8355
5 2785
557 557
1

Prime factors of 8355 are 3, 5,557. Prime factorization of 8355 in exponential form is:

8355 = 31×51×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 8351 and 8355.

LCM(8351,8355) = 31×51×71×5571×11931
LCM(8351,8355) = 69772605

Factors of 8351

List of positive integer factors of 8351 that divides 8351 without a remainder.

1, 7, 1193, 8351

Factors of 8355

List of positive integer factors of 8355 that divides 8355 without a remainder.

1, 3, 5, 15, 557, 1671, 2785, 8355

Least Common Multiple of 8351 and 8355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8351 and 8355, than apply into the LCM equation.

GCF(8351,8355) = 1
LCM(8351,8355) = ( 8351 × 8355) / 1
LCM(8351,8355) = 69772605 / 1
LCM(8351,8355) = 69772605

Properties of LCM 8351 and 8355

(i) The LCM of 8355 and 8351 is associative

LCM of 8351 and 8355 = LCM of 8355 and 8351

Related Least Common Multiples of 8351

Related Least Common Multiples of 8355

Frequently Asked Questions on LCM of 8351 and 8355

1. What is the LCM of 8351 and 8355?

Answer: LCM of 8351 and 8355 is 69772605.

2. What are the Factors of 8351?

Answer: Factors of 8351 are 1, 7, 1193, 8351. There are 4 integers that are factors of 8351. The greatest factor of 8351 is 8351.

3. What are the Factors of 8355?

Answer: Factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355. There are 8 integers that are factors of 8355. The greatest factor of 8355 is 8355.

4. How to Find the LCM of 8351 and 8355?

Answer:

Least Common Multiple of 8351 and 8355 = 69772605

Step 1: Find the prime factorization of 8351

8351 = 7 x 1193

Step 2: Find the prime factorization of 8355

8355 = 3 x 5 x 557

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

LCM = 69772605 = 3 x 5 x 7 x 557 x 1193

Step 4: Therefore, the least common multiple of 8351 and 8355 is 69772605.