Least Common Multiple of 8378 and 8383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8378 and 8383 the smallest integer that is 70232774 that is divisible by both numbers.

Least Common Multiple (LCM) of 8378 and 8383 is 70232774.

LCM(8378,8383) = 70232774

LCM of 8378 and 8383

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

LCM of:
and

Least Common Multiple of 8378 and 8383

LCM of 8378 and 8383 is 70232774

Least common multiple can be found by multiplying the highest exponent prime factors of 8378 and 8383. First we will calculate the prime factors of 8378 and 8383.

Prime Factorization of 8378


2 8378
59 4189
71 71
1

Prime factors of 8378 are 2, 59,71. Prime factorization of 8378 in exponential form is:

8378 = 21×591×711

Prime Factorization of 8383


83 8383
101 101
1

Prime factors of 8383 are 83,101. Prime factorization of 8383 in exponential form is:

8383 = 831×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8378 and 8383.

LCM(8378,8383) = 21×591×711×831×1011
LCM(8378,8383) = 70232774

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1, 2, 59, 71, 118, 142, 4189, 8378

Factors of 8383

List of positive integer factors of 8383 that divides 8383 without a remainder.

1, 83, 101, 8383

Least Common Multiple of 8378 and 8383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8378 and 8383, than apply into the LCM equation.

GCF(8378,8383) = 1
LCM(8378,8383) = ( 8378 × 8383) / 1
LCM(8378,8383) = 70232774 / 1
LCM(8378,8383) = 70232774

Properties of LCM 8378 and 8383

(i) The LCM of 8383 and 8378 is associative

LCM of 8378 and 8383 = LCM of 8383 and 8378

Related Least Common Multiples of 8378

Related Least Common Multiples of 8383

Frequently Asked Questions on LCM of 8378 and 8383

1. What is the LCM of 8378 and 8383?

Answer: LCM of 8378 and 8383 is 70232774.

2. What are the Factors of 8378?

Answer: Factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378. There are 8 integers that are factors of 8378. The greatest factor of 8378 is 8378.

3. What are the Factors of 8383?

Answer: Factors of 8383 are 1, 83, 101, 8383. There are 4 integers that are factors of 8383. The greatest factor of 8383 is 8383.

4. How to Find the LCM of 8378 and 8383?

Answer:

Least Common Multiple of 8378 and 8383 = 70232774

Step 1: Find the prime factorization of 8378

8378 = 2 x 59 x 71

Step 2: Find the prime factorization of 8383

8383 = 83 x 101

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

LCM = 70232774 = 2 x 59 x 71 x 83 x 101

Step 4: Therefore, the least common multiple of 8378 and 8383 is 70232774.