Least Common Multiple of 8348 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 8348 and 8355 the smallest integer that is 69747540 that is divisible by both numbers.

Least Common Multiple (LCM) of 8348 and 8355 is 69747540.

LCM(8348,8355) = 69747540

LCM of 8348 and 8355

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

LCM of:
and

Least Common Multiple of 8348 and 8355

LCM of 8348 and 8355 is 69747540

Least common multiple can be found by multiplying the highest exponent prime factors of 8348 and 8355. First we will calculate the prime factors of 8348 and 8355.

Prime Factorization of 8348


2 8348
2 4174
2087 2087
1

Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:

8348 = 22×20871

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 8348 and 8355.

LCM(8348,8355) = 22×31×51×5571×20871
LCM(8348,8355) = 69747540

Factors of 8348

List of positive integer factors of 8348 that divides 8348 without a remainder.

1, 2, 4, 2087, 4174, 8348

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 8348 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 8348 and 8355, than apply into the LCM equation.

GCF(8348,8355) = 1
LCM(8348,8355) = ( 8348 × 8355) / 1
LCM(8348,8355) = 69747540 / 1
LCM(8348,8355) = 69747540

Properties of LCM 8348 and 8355

(i) The LCM of 8355 and 8348 is associative

LCM of 8348 and 8355 = LCM of 8355 and 8348

Related Least Common Multiples of 8348

Related Least Common Multiples of 8355

Frequently Asked Questions on LCM of 8348 and 8355

1. What is the LCM of 8348 and 8355?

Answer: LCM of 8348 and 8355 is 69747540.

2. What are the Factors of 8348?

Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.

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 8348 and 8355?

Answer:

Least Common Multiple of 8348 and 8355 = 69747540

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

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 = 69747540 = 2 x 2 x 3 x 5 x 557 x 2087

Step 4: Therefore, the least common multiple of 8348 and 8355 is 69747540.